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Finding the Third Proportional to 73,712,947 and 160,390,439

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Solution

The third proportional to 73,712,947 and 160,390,439 is: 348,990,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,712,947 : 160,390,439 = 160,390,439 : x
  2. Step 2: Convert to fraction form
    73,712,947/160,390,439 = 160,390,439/x
  3. Step 3: Cross multiply
    73,712,947x = 160,390,439 × 160,390,439
  4. Step 4: Simplify right side
    73,712,947x = 25,725,092,922,612,720
  5. Step 5: Solve for x
    x = 25,725,092,922,612,720/73,712,947
  6. Step 6: Final answer
    x = 348,990,156.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.