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Finding the Third Proportional to 7,198,714.69 and 10,185,958.13

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Solution

The third proportional to 7,198,714.69 and 10,185,958.13 is: 14,412,814.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198,714.69 : 10,185,958.13 = 10,185,958.13 : x
  2. Step 2: Convert to fraction form
    7,198,714.69/10,185,958.13 = 10,185,958.13/x
  3. Step 3: Cross multiply
    7,198,714.69x = 10,185,958.13 × 10,185,958.13
  4. Step 4: Simplify right side
    7,198,714.69x = 103,753,742,924,253.52
  5. Step 5: Solve for x
    x = 103,753,742,924,253.52/7,198,714.69
  6. Step 6: Final answer
    x = 14,412,814.99

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.