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Finding the Third Proportional to 6,695,685 and 14,587,092

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Solution

The third proportional to 6,695,685 and 14,587,092 is: 31,779,161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695,685 : 14,587,092 = 14,587,092 : x
  2. Step 2: Convert to fraction form
    6,695,685/14,587,092 = 14,587,092/x
  3. Step 3: Cross multiply
    6,695,685x = 14,587,092 × 14,587,092
  4. Step 4: Simplify right side
    6,695,685x = 212,783,253,016,464
  5. Step 5: Solve for x
    x = 212,783,253,016,464/6,695,685
  6. Step 6: Final answer
    x = 31,779,161.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.