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Finding the Third Proportional to 5,679,743 and 12,494,998

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Solution

The third proportional to 5,679,743 and 12,494,998 is: 27,488,035.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679,743 : 12,494,998 = 12,494,998 : x
  2. Step 2: Convert to fraction form
    5,679,743/12,494,998 = 12,494,998/x
  3. Step 3: Cross multiply
    5,679,743x = 12,494,998 × 12,494,998
  4. Step 4: Simplify right side
    5,679,743x = 156,124,975,020,004
  5. Step 5: Solve for x
    x = 156,124,975,020,004/5,679,743
  6. Step 6: Final answer
    x = 27,488,035.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.