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Finding the Third Proportional to 4,658,508 and 9,876,864

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Solution

The third proportional to 4,658,508 and 9,876,864 is: 20,940,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658,508 : 9,876,864 = 9,876,864 : x
  2. Step 2: Convert to fraction form
    4,658,508/9,876,864 = 9,876,864/x
  3. Step 3: Cross multiply
    4,658,508x = 9,876,864 × 9,876,864
  4. Step 4: Simplify right side
    4,658,508x = 97,552,442,474,496
  5. Step 5: Solve for x
    x = 97,552,442,474,496/4,658,508
  6. Step 6: Final answer
    x = 20,940,705.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.