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Finding the Third Proportional to 232,957,926 and 370,861,472

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Solution

The third proportional to 232,957,926 and 370,861,472 is: 590,399,450.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,957,926 : 370,861,472 = 370,861,472 : x
  2. Step 2: Convert to fraction form
    232,957,926/370,861,472 = 370,861,472/x
  3. Step 3: Cross multiply
    232,957,926x = 370,861,472 × 370,861,472
  4. Step 4: Simplify right side
    232,957,926x = 137,538,231,414,006,784
  5. Step 5: Solve for x
    x = 137,538,231,414,006,784/232,957,926
  6. Step 6: Final answer
    x = 590,399,450.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.