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Finding the Third Proportional to 37,802,709 and 82,447,452

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Solution

The third proportional to 37,802,709 and 82,447,452 is: 179,817,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,802,709 : 82,447,452 = 82,447,452 : x
  2. Step 2: Convert to fraction form
    37,802,709/82,447,452 = 82,447,452/x
  3. Step 3: Cross multiply
    37,802,709x = 82,447,452 × 82,447,452
  4. Step 4: Simplify right side
    37,802,709x = 6,797,582,341,292,304
  5. Step 5: Solve for x
    x = 6,797,582,341,292,304/37,802,709
  6. Step 6: Final answer
    x = 179,817,333.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.