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Finding the Third Proportional to 27,300,240 and 41,123,376

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Solution

The third proportional to 27,300,240 and 41,123,376 is: 61,945,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300,240 : 41,123,376 = 41,123,376 : x
  2. Step 2: Convert to fraction form
    27,300,240/41,123,376 = 41,123,376/x
  3. Step 3: Cross multiply
    27,300,240x = 41,123,376 × 41,123,376
  4. Step 4: Simplify right side
    27,300,240x = 1,691,132,053,637,376
  5. Step 5: Solve for x
    x = 1,691,132,053,637,376/27,300,240
  6. Step 6: Final answer
    x = 61,945,684.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.