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Finding the Third Proportional to 9,587,978 and 20,598,964

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Solution

The third proportional to 9,587,978 and 20,598,964 is: 44,255,140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587,978 : 20,598,964 = 20,598,964 : x
  2. Step 2: Convert to fraction form
    9,587,978/20,598,964 = 20,598,964/x
  3. Step 3: Cross multiply
    9,587,978x = 20,598,964 × 20,598,964
  4. Step 4: Simplify right side
    9,587,978x = 424,317,317,873,296
  5. Step 5: Solve for x
    x = 424,317,317,873,296/9,587,978
  6. Step 6: Final answer
    x = 44,255,140.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.