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Finding the Third Proportional to 2,961,640,168,548.40 and 6,006,554,924,691.40

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Solution

The third proportional to 2,961,640,168,548.40 and 6,006,554,924,691.40 is: 12,182,000,516,631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961,640,168,548.40 : 6,006,554,924,691.40 = 6,006,554,924,691.40 : x
  2. Step 2: Convert to fraction form
    2,961,640,168,548.40/6,006,554,924,691.40 = 6,006,554,924,691.40/x
  3. Step 3: Cross multiply
    2,961,640,168,548.40x = 6,006,554,924,691.40 × 6,006,554,924,691.40
  4. Step 4: Simplify right side
    2,961,640,168,548.40x = 36,078,702,063,334,513,363,124,224
  5. Step 5: Solve for x
    x = 36,078,702,063,334,513,363,124,224/2,961,640,168,548.40
  6. Step 6: Final answer
    x = 12,182,000,516,631.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.