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Finding the Third Proportional to 5,711,247 and 12,464,282.25

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Solution

The third proportional to 5,711,247 and 12,464,282.25 is: 27,202,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711,247 : 12,464,282.25 = 12,464,282.25 : x
  2. Step 2: Convert to fraction form
    5,711,247/12,464,282.25 = 12,464,282.25/x
  3. Step 3: Cross multiply
    5,711,247x = 12,464,282.25 × 12,464,282.25
  4. Step 4: Simplify right side
    5,711,247x = 155,358,332,007,665.06
  5. Step 5: Solve for x
    x = 155,358,332,007,665.06/5,711,247
  6. Step 6: Final answer
    x = 27,202,173.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.