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Finding the Third Proportional to 27,701,674 and 41,397,468

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Solution

The third proportional to 27,701,674 and 41,397,468 is: 61,864,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,701,674 : 41,397,468 = 41,397,468 : x
  2. Step 2: Convert to fraction form
    27,701,674/41,397,468 = 41,397,468/x
  3. Step 3: Cross multiply
    27,701,674x = 41,397,468 × 41,397,468
  4. Step 4: Simplify right side
    27,701,674x = 1,713,750,356,811,024
  5. Step 5: Solve for x
    x = 1,713,750,356,811,024/27,701,674
  6. Step 6: Final answer
    x = 61,864,505.26

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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.