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Finding the Third Proportional to 625,249,472 and 1,331,365,457

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Solution

The third proportional to 625,249,472 and 1,331,365,457 is: 2,834,922,793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,249,472 : 1,331,365,457 = 1,331,365,457 : x
  2. Step 2: Convert to fraction form
    625,249,472/1,331,365,457 = 1,331,365,457/x
  3. Step 3: Cross multiply
    625,249,472x = 1,331,365,457 × 1,331,365,457
  4. Step 4: Simplify right side
    625,249,472x = 1,772,533,980,092,818,944
  5. Step 5: Solve for x
    x = 1,772,533,980,092,818,944/625,249,472
  6. Step 6: Final answer
    x = 2,834,922,793.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.