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Finding the Third Proportional to 3,098,986 and 6,695,926

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Solution

The third proportional to 3,098,986 and 6,695,926 is: 14,467,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098,986 : 6,695,926 = 6,695,926 : x
  2. Step 2: Convert to fraction form
    3,098,986/6,695,926 = 6,695,926/x
  3. Step 3: Cross multiply
    3,098,986x = 6,695,926 × 6,695,926
  4. Step 4: Simplify right side
    3,098,986x = 44,835,424,997,476
  5. Step 5: Solve for x
    x = 44,835,424,997,476/3,098,986
  6. Step 6: Final answer
    x = 14,467,772.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.