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Finding the Third Proportional to 30,324,040,712 and 64,854,465,736

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Solution

The third proportional to 30,324,040,712 and 64,854,465,736 is: 138,705,186,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,324,040,712 : 64,854,465,736 = 64,854,465,736 : x
  2. Step 2: Convert to fraction form
    30,324,040,712/64,854,465,736 = 64,854,465,736/x
  3. Step 3: Cross multiply
    30,324,040,712x = 64,854,465,736 × 64,854,465,736
  4. Step 4: Simplify right side
    30,324,040,712x = 4,206,101,725,901,998,260,224
  5. Step 5: Solve for x
    x = 4,206,101,725,901,998,260,224/30,324,040,712
  6. Step 6: Final answer
    x = 138,705,186,615.76

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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.