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Finding the Third Proportional to 16,266,098,304 and 35,515,215,360

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Solution

The third proportional to 16,266,098,304 and 35,515,215,360 is: 77,543,520,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266,098,304 : 35,515,215,360 = 35,515,215,360 : x
  2. Step 2: Convert to fraction form
    16,266,098,304/35,515,215,360 = 35,515,215,360/x
  3. Step 3: Cross multiply
    16,266,098,304x = 35,515,215,360 × 35,515,215,360
  4. Step 4: Simplify right side
    16,266,098,304x = 1,261,330,522,067,179,929,600
  5. Step 5: Solve for x
    x = 1,261,330,522,067,179,929,600/16,266,098,304
  6. Step 6: Final answer
    x = 77,543,520,178.84

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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.