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Finding the Third Proportional to 10,644,120 and 16,674,996

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Solution

The third proportional to 10,644,120 and 16,674,996 is: 26,122,919.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644,120 : 16,674,996 = 16,674,996 : x
  2. Step 2: Convert to fraction form
    10,644,120/16,674,996 = 16,674,996/x
  3. Step 3: Cross multiply
    10,644,120x = 16,674,996 × 16,674,996
  4. Step 4: Simplify right side
    10,644,120x = 278,055,491,600,016
  5. Step 5: Solve for x
    x = 278,055,491,600,016/10,644,120
  6. Step 6: Final answer
    x = 26,122,919.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.