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Finding the Third Proportional to 24,706,885 and 35,642,719

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Solution

The third proportional to 24,706,885 and 35,642,719 is: 51,419,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706,885 : 35,642,719 = 35,642,719 : x
  2. Step 2: Convert to fraction form
    24,706,885/35,642,719 = 35,642,719/x
  3. Step 3: Cross multiply
    24,706,885x = 35,642,719 × 35,642,719
  4. Step 4: Simplify right side
    24,706,885x = 1,270,403,417,712,961
  5. Step 5: Solve for x
    x = 1,270,403,417,712,961/24,706,885
  6. Step 6: Final answer
    x = 51,419,003.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.