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Finding the Third Proportional to 10,498,663.13 and 21,835,387.69

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Solution

The third proportional to 10,498,663.13 and 21,835,387.69 is: 45,413,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498,663.13 : 21,835,387.69 = 21,835,387.69 : x
  2. Step 2: Convert to fraction form
    10,498,663.13/21,835,387.69 = 21,835,387.69/x
  3. Step 3: Cross multiply
    10,498,663.13x = 21,835,387.69 × 21,835,387.69
  4. Step 4: Simplify right side
    10,498,663.13x = 476,784,155,463,426.62
  5. Step 5: Solve for x
    x = 476,784,155,463,426.62/10,498,663.13
  6. Step 6: Final answer
    x = 45,413,796.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.