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Finding the Third Proportional to 7,872,241 and 12,854,661

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Solution

The third proportional to 7,872,241 and 12,854,661 is: 20,990,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872,241 : 12,854,661 = 12,854,661 : x
  2. Step 2: Convert to fraction form
    7,872,241/12,854,661 = 12,854,661/x
  3. Step 3: Cross multiply
    7,872,241x = 12,854,661 × 12,854,661
  4. Step 4: Simplify right side
    7,872,241x = 165,242,309,424,921
  5. Step 5: Solve for x
    x = 165,242,309,424,921/7,872,241
  6. Step 6: Final answer
    x = 20,990,504.41

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.