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Finding the Third Proportional to 9,952,510,540 and 21,382,022,760

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Solution

The third proportional to 9,952,510,540 and 21,382,022,760 is: 45,937,243,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952,510,540 : 21,382,022,760 = 21,382,022,760 : x
  2. Step 2: Convert to fraction form
    9,952,510,540/21,382,022,760 = 21,382,022,760/x
  3. Step 3: Cross multiply
    9,952,510,540x = 21,382,022,760 × 21,382,022,760
  4. Step 4: Simplify right side
    9,952,510,540x = 457,190,897,309,158,014,976
  5. Step 5: Solve for x
    x = 457,190,897,309,158,014,976/9,952,510,540
  6. Step 6: Final answer
    x = 45,937,243,218.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.