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Finding the Third Proportional to 7,181,676 and 15,358,680

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Solution

The third proportional to 7,181,676 and 15,358,680 is: 32,845,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181,676 : 15,358,680 = 15,358,680 : x
  2. Step 2: Convert to fraction form
    7,181,676/15,358,680 = 15,358,680/x
  3. Step 3: Cross multiply
    7,181,676x = 15,358,680 × 15,358,680
  4. Step 4: Simplify right side
    7,181,676x = 235,889,051,342,400
  5. Step 5: Solve for x
    x = 235,889,051,342,400/7,181,676
  6. Step 6: Final answer
    x = 32,845,961.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.