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Finding the Third Proportional to 37,683,639 and 81,627,600

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Solution

The third proportional to 37,683,639 and 81,627,600 is: 176,815,861.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,683,639 : 81,627,600 = 81,627,600 : x
  2. Step 2: Convert to fraction form
    37,683,639/81,627,600 = 81,627,600/x
  3. Step 3: Cross multiply
    37,683,639x = 81,627,600 × 81,627,600
  4. Step 4: Simplify right side
    37,683,639x = 6,663,065,081,760,000
  5. Step 5: Solve for x
    x = 6,663,065,081,760,000/37,683,639
  6. Step 6: Final answer
    x = 176,815,861.17

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Why These Related Problems?

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