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Finding the Third Proportional to 4,486,819 and 9,785,663

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Solution

The third proportional to 4,486,819 and 9,785,663 is: 21,342,336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,819 : 9,785,663 = 9,785,663 : x
  2. Step 2: Convert to fraction form
    4,486,819/9,785,663 = 9,785,663/x
  3. Step 3: Cross multiply
    4,486,819x = 9,785,663 × 9,785,663
  4. Step 4: Simplify right side
    4,486,819x = 95,759,200,349,569
  5. Step 5: Solve for x
    x = 95,759,200,349,569/4,486,819
  6. Step 6: Final answer
    x = 21,342,336.37

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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.