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Finding the Third Proportional to 9,465,874 and 13,536,311

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Solution

The third proportional to 9,465,874 and 13,536,311 is: 19,357,083.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465,874 : 13,536,311 = 13,536,311 : x
  2. Step 2: Convert to fraction form
    9,465,874/13,536,311 = 13,536,311/x
  3. Step 3: Cross multiply
    9,465,874x = 13,536,311 × 13,536,311
  4. Step 4: Simplify right side
    9,465,874x = 183,231,715,488,721
  5. Step 5: Solve for x
    x = 183,231,715,488,721/9,465,874
  6. Step 6: Final answer
    x = 19,357,083.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.