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Finding the Third Proportional to 9,897,747.75 and 20,700,471.38

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Solution

The third proportional to 9,897,747.75 and 20,700,471.38 is: 43,293,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897,747.75 : 20,700,471.38 = 20,700,471.38 : x
  2. Step 2: Convert to fraction form
    9,897,747.75/20,700,471.38 = 20,700,471.38/x
  3. Step 3: Cross multiply
    9,897,747.75x = 20,700,471.38 × 20,700,471.38
  4. Step 4: Simplify right side
    9,897,747.75x = 428,509,515,147,194.38
  5. Step 5: Solve for x
    x = 428,509,515,147,194.38/9,897,747.75
  6. Step 6: Final answer
    x = 43,293,638.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.