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Finding the Third Proportional to 6,853,625 and 14,888,948

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Solution

The third proportional to 6,853,625 and 14,888,948 is: 32,345,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853,625 : 14,888,948 = 14,888,948 : x
  2. Step 2: Convert to fraction form
    6,853,625/14,888,948 = 14,888,948/x
  3. Step 3: Cross multiply
    6,853,625x = 14,888,948 × 14,888,948
  4. Step 4: Simplify right side
    6,853,625x = 221,680,772,546,704
  5. Step 5: Solve for x
    x = 221,680,772,546,704/6,853,625
  6. Step 6: Final answer
    x = 32,345,039.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.