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Finding the Third Proportional to 12,441,920 and 17,791,967

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Solution

The third proportional to 12,441,920 and 17,791,967 is: 25,442,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441,920 : 17,791,967 = 17,791,967 : x
  2. Step 2: Convert to fraction form
    12,441,920/17,791,967 = 17,791,967/x
  3. Step 3: Cross multiply
    12,441,920x = 17,791,967 × 17,791,967
  4. Step 4: Simplify right side
    12,441,920x = 316,554,089,729,089
  5. Step 5: Solve for x
    x = 316,554,089,729,089/12,441,920
  6. Step 6: Final answer
    x = 25,442,543.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.