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Finding the Third Proportional to 2,914,900,775 and 6,294,277,531

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Solution

The third proportional to 2,914,900,775 and 6,294,277,531 is: 13,591,519,127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914,900,775 : 6,294,277,531 = 6,294,277,531 : x
  2. Step 2: Convert to fraction form
    2,914,900,775/6,294,277,531 = 6,294,277,531/x
  3. Step 3: Cross multiply
    2,914,900,775x = 6,294,277,531 × 6,294,277,531
  4. Step 4: Simplify right side
    2,914,900,775x = 39,617,929,637,251,457,024
  5. Step 5: Solve for x
    x = 39,617,929,637,251,457,024/2,914,900,775
  6. Step 6: Final answer
    x = 13,591,519,127.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.