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Finding the Third Proportional to 6,500,142 and 13,840,092

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Solution

The third proportional to 6,500,142 and 13,840,092 is: 29,468,301.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500,142 : 13,840,092 = 13,840,092 : x
  2. Step 2: Convert to fraction form
    6,500,142/13,840,092 = 13,840,092/x
  3. Step 3: Cross multiply
    6,500,142x = 13,840,092 × 13,840,092
  4. Step 4: Simplify right side
    6,500,142x = 191,548,146,568,464
  5. Step 5: Solve for x
    x = 191,548,146,568,464/6,500,142
  6. Step 6: Final answer
    x = 29,468,301.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.