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Finding the Third Proportional to 34,768,427,501 and 75,312,891,493

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Solution

The third proportional to 34,768,427,501 and 75,312,891,493 is: 163,137,421,871.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,768,427,501 : 75,312,891,493 = 75,312,891,493 : x
  2. Step 2: Convert to fraction form
    34,768,427,501/75,312,891,493 = 75,312,891,493/x
  3. Step 3: Cross multiply
    34,768,427,501x = 75,312,891,493 × 75,312,891,493
  4. Step 4: Simplify right side
    34,768,427,501x = 5,672,031,625,036,391,514,112
  5. Step 5: Solve for x
    x = 5,672,031,625,036,391,514,112/34,768,427,501
  6. Step 6: Final answer
    x = 163,137,421,871.42

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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.