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Finding the Third Proportional to 35,264,207,352 and 76,726,866,480

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Solution

The third proportional to 35,264,207,352 and 76,726,866,480 is: 166,940,149,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,264,207,352 : 76,726,866,480 = 76,726,866,480 : x
  2. Step 2: Convert to fraction form
    35,264,207,352/76,726,866,480 = 76,726,866,480/x
  3. Step 3: Cross multiply
    35,264,207,352x = 76,726,866,480 × 76,726,866,480
  4. Step 4: Simplify right side
    35,264,207,352x = 5,887,012,039,839,747,932,160
  5. Step 5: Solve for x
    x = 5,887,012,039,839,747,932,160/35,264,207,352
  6. Step 6: Final answer
    x = 166,940,149,287.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.