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Finding the Third Proportional to 125,872,428 and 296,717,046

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Solution

The third proportional to 125,872,428 and 296,717,046 is: 699,446,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,872,428 : 296,717,046 = 296,717,046 : x
  2. Step 2: Convert to fraction form
    125,872,428/296,717,046 = 296,717,046/x
  3. Step 3: Cross multiply
    125,872,428x = 296,717,046 × 296,717,046
  4. Step 4: Simplify right side
    125,872,428x = 88,041,005,386,966,112
  5. Step 5: Solve for x
    x = 88,041,005,386,966,112/125,872,428
  6. Step 6: Final answer
    x = 699,446,310.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.