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Finding the Third Proportional to 9,708,768.56 and 20,930,657.06

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Solution

The third proportional to 9,708,768.56 and 20,930,657.06 is: 45,123,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708,768.56 : 20,930,657.06 = 20,930,657.06 : x
  2. Step 2: Convert to fraction form
    9,708,768.56/20,930,657.06 = 20,930,657.06/x
  3. Step 3: Cross multiply
    9,708,768.56x = 20,930,657.06 × 20,930,657.06
  4. Step 4: Simplify right side
    9,708,768.56x = 438,092,405,067,981.12
  5. Step 5: Solve for x
    x = 438,092,405,067,981.12/9,708,768.56
  6. Step 6: Final answer
    x = 45,123,375.04

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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.