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Finding the Third Proportional to 6,191,750 and 13,132,686

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Solution

The third proportional to 6,191,750 and 13,132,686 is: 27,854,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191,750 : 13,132,686 = 13,132,686 : x
  2. Step 2: Convert to fraction form
    6,191,750/13,132,686 = 13,132,686/x
  3. Step 3: Cross multiply
    6,191,750x = 13,132,686 × 13,132,686
  4. Step 4: Simplify right side
    6,191,750x = 172,467,441,574,596
  5. Step 5: Solve for x
    x = 172,467,441,574,596/6,191,750
  6. Step 6: Final answer
    x = 27,854,393.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.