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Finding the Third Proportional to 10,642,788 and 16,229,862

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Solution

The third proportional to 10,642,788 and 16,229,862 is: 24,749,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642,788 : 16,229,862 = 16,229,862 : x
  2. Step 2: Convert to fraction form
    10,642,788/16,229,862 = 16,229,862/x
  3. Step 3: Cross multiply
    10,642,788x = 16,229,862 × 16,229,862
  4. Step 4: Simplify right side
    10,642,788x = 263,408,420,539,044
  5. Step 5: Solve for x
    x = 263,408,420,539,044/10,642,788
  6. Step 6: Final answer
    x = 24,749,945.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.