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Finding the Third Proportional to 6,147,466 and 13,241,034

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Solution

The third proportional to 6,147,466 and 13,241,034 is: 28,519,878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147,466 : 13,241,034 = 13,241,034 : x
  2. Step 2: Convert to fraction form
    6,147,466/13,241,034 = 13,241,034/x
  3. Step 3: Cross multiply
    6,147,466x = 13,241,034 × 13,241,034
  4. Step 4: Simplify right side
    6,147,466x = 175,324,981,389,156
  5. Step 5: Solve for x
    x = 175,324,981,389,156/6,147,466
  6. Step 6: Final answer
    x = 28,519,878.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.