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Finding the Third Proportional to 34,524,346.13 and 73,835,760.38

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Solution

The third proportional to 34,524,346.13 and 73,835,760.38 is: 157,909,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,524,346.13 : 73,835,760.38 = 73,835,760.38 : x
  2. Step 2: Convert to fraction form
    34,524,346.13/73,835,760.38 = 73,835,760.38/x
  3. Step 3: Cross multiply
    34,524,346.13x = 73,835,760.38 × 73,835,760.38
  4. Step 4: Simplify right side
    34,524,346.13x = 5,451,719,510,154,420
  5. Step 5: Solve for x
    x = 5,451,719,510,154,420/34,524,346.13
  6. Step 6: Final answer
    x = 157,909,421.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.