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Finding the Third Proportional to 37,749,696 and 82,564,320

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Solution

The third proportional to 37,749,696 and 82,564,320 is: 180,580,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,749,696 : 82,564,320 = 82,564,320 : x
  2. Step 2: Convert to fraction form
    37,749,696/82,564,320 = 82,564,320/x
  3. Step 3: Cross multiply
    37,749,696x = 82,564,320 × 82,564,320
  4. Step 4: Simplify right side
    37,749,696x = 6,816,866,937,062,400
  5. Step 5: Solve for x
    x = 6,816,866,937,062,400/37,749,696
  6. Step 6: Final answer
    x = 180,580,710.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.