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Finding the Third Proportional to 37,683,624 and 81,627,570

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Solution

The third proportional to 37,683,624 and 81,627,570 is: 176,815,801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,683,624 : 81,627,570 = 81,627,570 : x
  2. Step 2: Convert to fraction form
    37,683,624/81,627,570 = 81,627,570/x
  3. Step 3: Cross multiply
    37,683,624x = 81,627,570 × 81,627,570
  4. Step 4: Simplify right side
    37,683,624x = 6,663,060,184,104,900
  5. Step 5: Solve for x
    x = 6,663,060,184,104,900/37,683,624
  6. Step 6: Final answer
    x = 176,815,801.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.