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Finding the Third Proportional to 10,198,267.88 and 15,814,387.69

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Solution

The third proportional to 10,198,267.88 and 15,814,387.69 is: 24,523,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198,267.88 : 15,814,387.69 = 15,814,387.69 : x
  2. Step 2: Convert to fraction form
    10,198,267.88/15,814,387.69 = 15,814,387.69/x
  3. Step 3: Cross multiply
    10,198,267.88x = 15,814,387.69 × 15,814,387.69
  4. Step 4: Simplify right side
    10,198,267.88x = 250,094,857,930,551.59
  5. Step 5: Solve for x
    x = 250,094,857,930,551.59/10,198,267.88
  6. Step 6: Final answer
    x = 24,523,268.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.