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Finding the Third Proportional to 4,342,464 and 9,262,026

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Solution

The third proportional to 4,342,464 and 9,262,026 is: 19,754,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342,464 : 9,262,026 = 9,262,026 : x
  2. Step 2: Convert to fraction form
    4,342,464/9,262,026 = 9,262,026/x
  3. Step 3: Cross multiply
    4,342,464x = 9,262,026 × 9,262,026
  4. Step 4: Simplify right side
    4,342,464x = 85,785,125,624,676
  5. Step 5: Solve for x
    x = 85,785,125,624,676/4,342,464
  6. Step 6: Final answer
    x = 19,754,942.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.