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Finding the Third Proportional to 30,485,992,432 and 66,037,813,344

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Solution

The third proportional to 30,485,992,432 and 66,037,813,344 is: 143,049,067,567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,485,992,432 : 66,037,813,344 = 66,037,813,344 : x
  2. Step 2: Convert to fraction form
    30,485,992,432/66,037,813,344 = 66,037,813,344/x
  3. Step 3: Cross multiply
    30,485,992,432x = 66,037,813,344 × 66,037,813,344
  4. Step 4: Simplify right side
    30,485,992,432x = 4,360,992,791,256,984,715,264
  5. Step 5: Solve for x
    x = 4,360,992,791,256,984,715,264/30,485,992,432
  6. Step 6: Final answer
    x = 143,049,067,567.16

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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.