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Finding the Third Proportional to 2,156,404,640 and 3,153,736,416

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Solution

The third proportional to 2,156,404,640 and 3,153,736,416 is: 4,612,331,654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156,404,640 : 3,153,736,416 = 3,153,736,416 : x
  2. Step 2: Convert to fraction form
    2,156,404,640/3,153,736,416 = 3,153,736,416/x
  3. Step 3: Cross multiply
    2,156,404,640x = 3,153,736,416 × 3,153,736,416
  4. Step 4: Simplify right side
    2,156,404,640x = 9,946,053,381,604,524,032
  5. Step 5: Solve for x
    x = 9,946,053,381,604,524,032/2,156,404,640
  6. Step 6: Final answer
    x = 4,612,331,654.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.