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Finding the Third Proportional to 1,411,077,204 and 2,193,753,480

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Solution

The third proportional to 1,411,077,204 and 2,193,753,480 is: 3,410,553,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,077,204 : 2,193,753,480 = 2,193,753,480 : x
  2. Step 2: Convert to fraction form
    1,411,077,204/2,193,753,480 = 2,193,753,480/x
  3. Step 3: Cross multiply
    1,411,077,204x = 2,193,753,480 × 2,193,753,480
  4. Step 4: Simplify right side
    1,411,077,204x = 4,812,554,331,012,110,336
  5. Step 5: Solve for x
    x = 4,812,554,331,012,110,336/1,411,077,204
  6. Step 6: Final answer
    x = 3,410,553,524.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.