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Finding the Third Proportional to 73,377,342 and 159,938,829

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Solution

The third proportional to 73,377,342 and 159,938,829 is: 348,614,822.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,377,342 : 159,938,829 = 159,938,829 : x
  2. Step 2: Convert to fraction form
    73,377,342/159,938,829 = 159,938,829/x
  3. Step 3: Cross multiply
    73,377,342x = 159,938,829 × 159,938,829
  4. Step 4: Simplify right side
    73,377,342x = 25,580,429,021,891,240
  5. Step 5: Solve for x
    x = 25,580,429,021,891,240/73,377,342
  6. Step 6: Final answer
    x = 348,614,822.02

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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.