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Finding the Third Proportional to 11,147,658.75 and 15,698,458.13

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Solution

The third proportional to 11,147,658.75 and 15,698,458.13 is: 22,107,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147,658.75 : 15,698,458.13 = 15,698,458.13 : x
  2. Step 2: Convert to fraction form
    11,147,658.75/15,698,458.13 = 15,698,458.13/x
  3. Step 3: Cross multiply
    11,147,658.75x = 15,698,458.13 × 15,698,458.13
  4. Step 4: Simplify right side
    11,147,658.75x = 246,441,587,502,378.50
  5. Step 5: Solve for x
    x = 246,441,587,502,378.50/11,147,658.75
  6. Step 6: Final answer
    x = 22,107,026.51

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Why These Related Problems?

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