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Finding the Third Proportional to 7,415,046.28 and 11,115,296.51

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Solution

The third proportional to 7,415,046.28 and 11,115,296.51 is: 16,662,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415,046.28 : 11,115,296.51 = 11,115,296.51 : x
  2. Step 2: Convert to fraction form
    7,415,046.28/11,115,296.51 = 11,115,296.51/x
  3. Step 3: Cross multiply
    7,415,046.28x = 11,115,296.51 × 11,115,296.51
  4. Step 4: Simplify right side
    7,415,046.28x = 123,549,816,456,577.66
  5. Step 5: Solve for x
    x = 123,549,816,456,577.66/7,415,046.28
  6. Step 6: Final answer
    x = 16,662,042.52

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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.