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Finding the Third Proportional to 14,199,567 and 31,102,059

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Solution

The third proportional to 14,199,567 and 31,102,059 is: 68,124,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,199,567 : 31,102,059 = 31,102,059 : x
  2. Step 2: Convert to fraction form
    14,199,567/31,102,059 = 31,102,059/x
  3. Step 3: Cross multiply
    14,199,567x = 31,102,059 × 31,102,059
  4. Step 4: Simplify right side
    14,199,567x = 967,338,074,039,481
  5. Step 5: Solve for x
    x = 967,338,074,039,481/14,199,567
  6. Step 6: Final answer
    x = 68,124,476.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.