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Finding the Third Proportional to 30,324,040,710 and 64,854,465,732

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Solution

The third proportional to 30,324,040,710 and 64,854,465,732 is: 138,705,186,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,324,040,710 : 64,854,465,732 = 64,854,465,732 : x
  2. Step 2: Convert to fraction form
    30,324,040,710/64,854,465,732 = 64,854,465,732/x
  3. Step 3: Cross multiply
    30,324,040,710x = 64,854,465,732 × 64,854,465,732
  4. Step 4: Simplify right side
    30,324,040,710x = 4,206,101,725,383,162,331,136
  5. Step 5: Solve for x
    x = 4,206,101,725,383,162,331,136/30,324,040,710
  6. Step 6: Final answer
    x = 138,705,186,607.80

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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.