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Finding the Third Proportional to 34,438,824,019 and 53,471,432,478

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Solution

The third proportional to 34,438,824,019 and 53,471,432,478 is: 83,022,407,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,438,824,019 : 53,471,432,478 = 53,471,432,478 : x
  2. Step 2: Convert to fraction form
    34,438,824,019/53,471,432,478 = 53,471,432,478/x
  3. Step 3: Cross multiply
    34,438,824,019x = 53,471,432,478 × 53,471,432,478
  4. Step 4: Simplify right side
    34,438,824,019x = 2,859,194,091,249,313,251,328
  5. Step 5: Solve for x
    x = 2,859,194,091,249,313,251,328/34,438,824,019
  6. Step 6: Final answer
    x = 83,022,407,782.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.