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Finding the Third Proportional to 37,129,519.13 and 80,648,677.69

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Solution

The third proportional to 37,129,519.13 and 80,648,677.69 is: 175,176,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,129,519.13 : 80,648,677.69 = 80,648,677.69 : x
  2. Step 2: Convert to fraction form
    37,129,519.13/80,648,677.69 = 80,648,677.69/x
  3. Step 3: Cross multiply
    37,129,519.13x = 80,648,677.69 × 80,648,677.69
  4. Step 4: Simplify right side
    37,129,519.13x = 6,504,209,212,742,260
  5. Step 5: Solve for x
    x = 6,504,209,212,742,260/37,129,519.13
  6. Step 6: Final answer
    x = 175,176,230.83

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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.