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Finding the Third Proportional to 7,011,146.11 and 10,488,693.96

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Solution

The third proportional to 7,011,146.11 and 10,488,693.96 is: 15,691,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011,146.11 : 10,488,693.96 = 10,488,693.96 : x
  2. Step 2: Convert to fraction form
    7,011,146.11/10,488,693.96 = 10,488,693.96/x
  3. Step 3: Cross multiply
    7,011,146.11x = 10,488,693.96 × 10,488,693.96
  4. Step 4: Simplify right side
    7,011,146.11x = 110,012,700,883,289.78
  5. Step 5: Solve for x
    x = 110,012,700,883,289.78/7,011,146.11
  6. Step 6: Final answer
    x = 15,691,115.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.