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Finding the Third Proportional to 4,157,841,732 and 9,245,311,311

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Solution

The third proportional to 4,157,841,732 and 9,245,311,311 is: 20,557,728,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157,841,732 : 9,245,311,311 = 9,245,311,311 : x
  2. Step 2: Convert to fraction form
    4,157,841,732/9,245,311,311 = 9,245,311,311/x
  3. Step 3: Cross multiply
    4,157,841,732x = 9,245,311,311 × 9,245,311,311
  4. Step 4: Simplify right side
    4,157,841,732x = 85,475,781,237,304,541,184
  5. Step 5: Solve for x
    x = 85,475,781,237,304,541,184/4,157,841,732
  6. Step 6: Final answer
    x = 20,557,728,443.45

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.