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Finding the Third Proportional to 30,324,040,714 and 64,854,465,740

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Solution

The third proportional to 30,324,040,714 and 64,854,465,740 is: 138,705,186,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,324,040,714 : 64,854,465,740 = 64,854,465,740 : x
  2. Step 2: Convert to fraction form
    30,324,040,714/64,854,465,740 = 64,854,465,740/x
  3. Step 3: Cross multiply
    30,324,040,714x = 64,854,465,740 × 64,854,465,740
  4. Step 4: Simplify right side
    30,324,040,714x = 4,206,101,726,420,833,665,024
  5. Step 5: Solve for x
    x = 4,206,101,726,420,833,665,024/30,324,040,714
  6. Step 6: Final answer
    x = 138,705,186,623.73

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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.