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Finding the Third Proportional to 9,840,467 and 13,247,217

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Solution

The third proportional to 9,840,467 and 13,247,217 is: 17,833,377.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840,467 : 13,247,217 = 13,247,217 : x
  2. Step 2: Convert to fraction form
    9,840,467/13,247,217 = 13,247,217/x
  3. Step 3: Cross multiply
    9,840,467x = 13,247,217 × 13,247,217
  4. Step 4: Simplify right side
    9,840,467x = 175,488,758,245,089
  5. Step 5: Solve for x
    x = 175,488,758,245,089/9,840,467
  6. Step 6: Final answer
    x = 17,833,377.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.