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Finding the Third Proportional to 9,564,950 and 20,692,876

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Solution

The third proportional to 9,564,950 and 20,692,876 is: 44,767,104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564,950 : 20,692,876 = 20,692,876 : x
  2. Step 2: Convert to fraction form
    9,564,950/20,692,876 = 20,692,876/x
  3. Step 3: Cross multiply
    9,564,950x = 20,692,876 × 20,692,876
  4. Step 4: Simplify right side
    9,564,950x = 428,195,117,151,376
  5. Step 5: Solve for x
    x = 428,195,117,151,376/9,564,950
  6. Step 6: Final answer
    x = 44,767,104.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.