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Finding the Third Proportional to 9,908,635.50 and 13,953,161.25

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Solution

The third proportional to 9,908,635.50 and 13,953,161.25 is: 19,648,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908,635.50 : 13,953,161.25 = 13,953,161.25 : x
  2. Step 2: Convert to fraction form
    9,908,635.50/13,953,161.25 = 13,953,161.25/x
  3. Step 3: Cross multiply
    9,908,635.50x = 13,953,161.25 × 13,953,161.25
  4. Step 4: Simplify right side
    9,908,635.50x = 194,690,708,868,501.56
  5. Step 5: Solve for x
    x = 194,690,708,868,501.56/9,908,635.50
  6. Step 6: Final answer
    x = 19,648,589.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.