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Finding the Third Proportional to 10,546,959,510 and 22,544,419,986

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Solution

The third proportional to 10,546,959,510 and 22,544,419,986 is: 48,189,326,224.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546,959,510 : 22,544,419,986 = 22,544,419,986 : x
  2. Step 2: Convert to fraction form
    10,546,959,510/22,544,419,986 = 22,544,419,986/x
  3. Step 3: Cross multiply
    10,546,959,510x = 22,544,419,986 × 22,544,419,986
  4. Step 4: Simplify right side
    10,546,959,510x = 508,250,872,505,156,239,360
  5. Step 5: Solve for x
    x = 508,250,872,505,156,239,360/10,546,959,510
  6. Step 6: Final answer
    x = 48,189,326,224.61

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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.