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Finding the Third Proportional to 4,908,471.75 and 11,464,174.69

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Solution

The third proportional to 4,908,471.75 and 11,464,174.69 is: 26,775,605.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908,471.75 : 11,464,174.69 = 11,464,174.69 : x
  2. Step 2: Convert to fraction form
    4,908,471.75/11,464,174.69 = 11,464,174.69/x
  3. Step 3: Cross multiply
    4,908,471.75x = 11,464,174.69 × 11,464,174.69
  4. Step 4: Simplify right side
    4,908,471.75x = 131,427,301,265,515.72
  5. Step 5: Solve for x
    x = 131,427,301,265,515.72/4,908,471.75
  6. Step 6: Final answer
    x = 26,775,605.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.