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Finding the Third Proportional to 7,287,995.25 and 16,872,067.13

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Solution

The third proportional to 7,287,995.25 and 16,872,067.13 is: 39,059,664.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287,995.25 : 16,872,067.13 = 16,872,067.13 : x
  2. Step 2: Convert to fraction form
    7,287,995.25/16,872,067.13 = 16,872,067.13/x
  3. Step 3: Cross multiply
    7,287,995.25x = 16,872,067.13 × 16,872,067.13
  4. Step 4: Simplify right side
    7,287,995.25x = 284,666,649,070,505.75
  5. Step 5: Solve for x
    x = 284,666,649,070,505.75/7,287,995.25
  6. Step 6: Final answer
    x = 39,059,664.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.