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Finding the Third Proportional to 4,486,788 and 9,785,601

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Solution

The third proportional to 4,486,788 and 9,785,601 is: 21,342,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,788 : 9,785,601 = 9,785,601 : x
  2. Step 2: Convert to fraction form
    4,486,788/9,785,601 = 9,785,601/x
  3. Step 3: Cross multiply
    4,486,788x = 9,785,601 × 9,785,601
  4. Step 4: Simplify right side
    4,486,788x = 95,757,986,931,201
  5. Step 5: Solve for x
    x = 95,757,986,931,201/4,486,788
  6. Step 6: Final answer
    x = 21,342,213.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.