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Finding the Third Proportional to 73,712,963 and 160,390,471

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Solution

The third proportional to 73,712,963 and 160,390,471 is: 348,990,220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,712,963 : 160,390,471 = 160,390,471 : x
  2. Step 2: Convert to fraction form
    73,712,963/160,390,471 = 160,390,471/x
  3. Step 3: Cross multiply
    73,712,963x = 160,390,471 × 160,390,471
  4. Step 4: Simplify right side
    73,712,963x = 25,725,103,187,601,840
  5. Step 5: Solve for x
    x = 25,725,103,187,601,840/73,712,963
  6. Step 6: Final answer
    x = 348,990,220.18

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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.