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Finding the Third Proportional to 4,703,698 and 9,972,599

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Solution

The third proportional to 4,703,698 and 9,972,599 is: 21,143,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703,698 : 9,972,599 = 9,972,599 : x
  2. Step 2: Convert to fraction form
    4,703,698/9,972,599 = 9,972,599/x
  3. Step 3: Cross multiply
    4,703,698x = 9,972,599 × 9,972,599
  4. Step 4: Simplify right side
    4,703,698x = 99,452,730,814,801
  5. Step 5: Solve for x
    x = 99,452,730,814,801/4,703,698
  6. Step 6: Final answer
    x = 21,143,519.59

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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.