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Finding the Third Proportional to 10,708,743 and 16,314,003.75

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Solution

The third proportional to 10,708,743 and 16,314,003.75 is: 24,853,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708,743 : 16,314,003.75 = 16,314,003.75 : x
  2. Step 2: Convert to fraction form
    10,708,743/16,314,003.75 = 16,314,003.75/x
  3. Step 3: Cross multiply
    10,708,743x = 16,314,003.75 × 16,314,003.75
  4. Step 4: Simplify right side
    10,708,743x = 266,146,718,355,014.06
  5. Step 5: Solve for x
    x = 266,146,718,355,014.06/10,708,743
  6. Step 6: Final answer
    x = 24,853,217.45

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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.