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Finding the Third Proportional to 4,587,464 and 9,972,400

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Solution

The third proportional to 4,587,464 and 9,972,400 is: 21,678,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587,464 : 9,972,400 = 9,972,400 : x
  2. Step 2: Convert to fraction form
    4,587,464/9,972,400 = 9,972,400/x
  3. Step 3: Cross multiply
    4,587,464x = 9,972,400 × 9,972,400
  4. Step 4: Simplify right side
    4,587,464x = 99,448,761,760,000
  5. Step 5: Solve for x
    x = 99,448,761,760,000/4,587,464
  6. Step 6: Final answer
    x = 21,678,374.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.