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Finding the Third Proportional to 52,462,013 and 82,287,149.50

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Solution

The third proportional to 52,462,013 and 82,287,149.50 is: 129,068,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,462,013 : 82,287,149.50 = 82,287,149.50 : x
  2. Step 2: Convert to fraction form
    52,462,013/82,287,149.50 = 82,287,149.50/x
  3. Step 3: Cross multiply
    52,462,013x = 82,287,149.50 × 82,287,149.50
  4. Step 4: Simplify right side
    52,462,013x = 6,771,174,972,835,350
  5. Step 5: Solve for x
    x = 6,771,174,972,835,350/52,462,013
  6. Step 6: Final answer
    x = 129,068,150.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.