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Finding the Third Proportional to 66,080,448 and 141,726,720

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Solution

The third proportional to 66,080,448 and 141,726,720 is: 303,969,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,080,448 : 141,726,720 = 141,726,720 : x
  2. Step 2: Convert to fraction form
    66,080,448/141,726,720 = 141,726,720/x
  3. Step 3: Cross multiply
    66,080,448x = 141,726,720 × 141,726,720
  4. Step 4: Simplify right side
    66,080,448x = 20,086,463,161,958,400
  5. Step 5: Solve for x
    x = 20,086,463,161,958,400/66,080,448
  6. Step 6: Final answer
    x = 303,969,839.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.