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Finding the Third Proportional to 4,306,965 and 9,462,999

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Solution

The third proportional to 4,306,965 and 9,462,999 is: 20,791,520.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306,965 : 9,462,999 = 9,462,999 : x
  2. Step 2: Convert to fraction form
    4,306,965/9,462,999 = 9,462,999/x
  3. Step 3: Cross multiply
    4,306,965x = 9,462,999 × 9,462,999
  4. Step 4: Simplify right side
    4,306,965x = 89,548,350,074,001
  5. Step 5: Solve for x
    x = 89,548,350,074,001/4,306,965
  6. Step 6: Final answer
    x = 20,791,520.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.