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Finding the Third Proportional to 37,683,604 and 81,627,534

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Solution

The third proportional to 37,683,604 and 81,627,534 is: 176,815,739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,683,604 : 81,627,534 = 81,627,534 : x
  2. Step 2: Convert to fraction form
    37,683,604/81,627,534 = 81,627,534/x
  3. Step 3: Cross multiply
    37,683,604x = 81,627,534 × 81,627,534
  4. Step 4: Simplify right side
    37,683,604x = 6,663,054,306,921,156
  5. Step 5: Solve for x
    x = 6,663,054,306,921,156/37,683,604
  6. Step 6: Final answer
    x = 176,815,739.46

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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.