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Finding the Third Proportional to 6,695,926 and 14,267,822

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Solution

The third proportional to 6,695,926 and 14,267,822 is: 30,402,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695,926 : 14,267,822 = 14,267,822 : x
  2. Step 2: Convert to fraction form
    6,695,926/14,267,822 = 14,267,822/x
  3. Step 3: Cross multiply
    6,695,926x = 14,267,822 × 14,267,822
  4. Step 4: Simplify right side
    6,695,926x = 203,570,744,623,684
  5. Step 5: Solve for x
    x = 203,570,744,623,684/6,695,926
  6. Step 6: Final answer
    x = 30,402,179.57

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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.