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Finding the Third Proportional to 7,074,268 and 15,157,107

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Solution

The third proportional to 7,074,268 and 15,157,107 is: 32,475,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074,268 : 15,157,107 = 15,157,107 : x
  2. Step 2: Convert to fraction form
    7,074,268/15,157,107 = 15,157,107/x
  3. Step 3: Cross multiply
    7,074,268x = 15,157,107 × 15,157,107
  4. Step 4: Simplify right side
    7,074,268x = 229,737,892,609,449
  5. Step 5: Solve for x
    x = 229,737,892,609,449/7,074,268
  6. Step 6: Final answer
    x = 32,475,146.91

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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.