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Finding the Third Proportional to 27,546,772 and 41,176,220

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Solution

The third proportional to 27,546,772 and 41,176,220 is: 61,549,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546,772 : 41,176,220 = 41,176,220 : x
  2. Step 2: Convert to fraction form
    27,546,772/41,176,220 = 41,176,220/x
  3. Step 3: Cross multiply
    27,546,772x = 41,176,220 × 41,176,220
  4. Step 4: Simplify right side
    27,546,772x = 1,695,481,093,488,400
  5. Step 5: Solve for x
    x = 1,695,481,093,488,400/27,546,772
  6. Step 6: Final answer
    x = 61,549,175.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.