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Finding the Third Proportional to 2,398,042,018 and 3,597,062,785

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Solution

The third proportional to 2,398,042,018 and 3,597,062,785 is: 5,395,593,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398,042,018 : 3,597,062,785 = 3,597,062,785 : x
  2. Step 2: Convert to fraction form
    2,398,042,018/3,597,062,785 = 3,597,062,785/x
  3. Step 3: Cross multiply
    2,398,042,018x = 3,597,062,785 × 3,597,062,785
  4. Step 4: Simplify right side
    2,398,042,018x = 12,938,860,679,231,956,992
  5. Step 5: Solve for x
    x = 12,938,860,679,231,956,992/2,398,042,018
  6. Step 6: Final answer
    x = 5,395,593,814.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.