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Finding the Third Proportional to 6,297,241,847 and 14,578,500,873

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Solution

The third proportional to 6,297,241,847 and 14,578,500,873 is: 33,750,123,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297,241,847 : 14,578,500,873 = 14,578,500,873 : x
  2. Step 2: Convert to fraction form
    6,297,241,847/14,578,500,873 = 14,578,500,873/x
  3. Step 3: Cross multiply
    6,297,241,847x = 14,578,500,873 × 14,578,500,873
  4. Step 4: Simplify right side
    6,297,241,847x = 212,532,687,704,061,771,776
  5. Step 5: Solve for x
    x = 212,532,687,704,061,771,776/6,297,241,847
  6. Step 6: Final answer
    x = 33,750,123,128.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.