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Finding the Third Proportional to 7,181,694 and 15,358,716

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Solution

The third proportional to 7,181,694 and 15,358,716 is: 32,846,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181,694 : 15,358,716 = 15,358,716 : x
  2. Step 2: Convert to fraction form
    7,181,694/15,358,716 = 15,358,716/x
  3. Step 3: Cross multiply
    7,181,694x = 15,358,716 × 15,358,716
  4. Step 4: Simplify right side
    7,181,694x = 235,890,157,168,656
  5. Step 5: Solve for x
    x = 235,890,157,168,656/7,181,694
  6. Step 6: Final answer
    x = 32,846,032.87

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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.