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Finding the Third Proportional to 34,777,263,058 and 75,329,331,489

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Solution

The third proportional to 34,777,263,058 and 75,329,331,489 is: 163,167,186,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,777,263,058 : 75,329,331,489 = 75,329,331,489 : x
  2. Step 2: Convert to fraction form
    34,777,263,058/75,329,331,489 = 75,329,331,489/x
  3. Step 3: Cross multiply
    34,777,263,058x = 75,329,331,489 × 75,329,331,489
  4. Step 4: Simplify right side
    34,777,263,058x = 5,674,508,182,579,647,086,592
  5. Step 5: Solve for x
    x = 5,674,508,182,579,647,086,592/34,777,263,058
  6. Step 6: Final answer
    x = 163,167,186,938.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.