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Finding the Third Proportional to 73,696,602 and 157,745,824

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Solution

The third proportional to 73,696,602 and 157,745,824 is: 337,651,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,696,602 : 157,745,824 = 157,745,824 : x
  2. Step 2: Convert to fraction form
    73,696,602/157,745,824 = 157,745,824/x
  3. Step 3: Cross multiply
    73,696,602x = 157,745,824 × 157,745,824
  4. Step 4: Simplify right side
    73,696,602x = 24,883,744,989,438,976
  5. Step 5: Solve for x
    x = 24,883,744,989,438,976/73,696,602
  6. Step 6: Final answer
    x = 337,651,184.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.