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Finding the Third Proportional to 4,155,608,936 and 9,142,331,412

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Solution

The third proportional to 4,155,608,936 and 9,142,331,412 is: 20,113,110,962.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155,608,936 : 9,142,331,412 = 9,142,331,412 : x
  2. Step 2: Convert to fraction form
    4,155,608,936/9,142,331,412 = 9,142,331,412/x
  3. Step 3: Cross multiply
    4,155,608,936x = 9,142,331,412 × 9,142,331,412
  4. Step 4: Simplify right side
    4,155,608,936x = 83,582,223,646,841,913,344
  5. Step 5: Solve for x
    x = 83,582,223,646,841,913,344/4,155,608,936
  6. Step 6: Final answer
    x = 20,113,110,962.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.