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Finding the Third Proportional to 20,313,072 and 31,488,217.50

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Solution

The third proportional to 20,313,072 and 31,488,217.50 is: 48,811,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313,072 : 31,488,217.50 = 31,488,217.50 : x
  2. Step 2: Convert to fraction form
    20,313,072/31,488,217.50 = 31,488,217.50/x
  3. Step 3: Cross multiply
    20,313,072x = 31,488,217.50 × 31,488,217.50
  4. Step 4: Simplify right side
    20,313,072x = 991,507,841,327,306.25
  5. Step 5: Solve for x
    x = 991,507,841,327,306.25/20,313,072
  6. Step 6: Final answer
    x = 48,811,319.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.