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Finding the Third Proportional to 292,113,516 and 454,920,629

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Solution

The third proportional to 292,113,516 and 454,920,629 is: 708,466,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,113,516 : 454,920,629 = 454,920,629 : x
  2. Step 2: Convert to fraction form
    292,113,516/454,920,629 = 454,920,629/x
  3. Step 3: Cross multiply
    292,113,516x = 454,920,629 × 454,920,629
  4. Step 4: Simplify right side
    292,113,516x = 206,952,778,689,755,648
  5. Step 5: Solve for x
    x = 206,952,778,689,755,648/292,113,516
  6. Step 6: Final answer
    x = 708,466,973.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.