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Finding the Third Proportional to 30,987,970,806 and 66,284,156,655

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Solution

The third proportional to 30,987,970,806 and 66,284,156,655 is: 141,783,708,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,987,970,806 : 66,284,156,655 = 66,284,156,655 : x
  2. Step 2: Convert to fraction form
    30,987,970,806/66,284,156,655 = 66,284,156,655/x
  3. Step 3: Cross multiply
    30,987,970,806x = 66,284,156,655 × 66,284,156,655
  4. Step 4: Simplify right side
    30,987,970,806x = 4,393,589,423,464,580,644,864
  5. Step 5: Solve for x
    x = 4,393,589,423,464,580,644,864/30,987,970,806
  6. Step 6: Final answer
    x = 141,783,708,619.41

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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.