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Finding the Third Proportional to 27,478,332,596 and 59,519,474,127

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Solution

The third proportional to 27,478,332,596 and 59,519,474,127 is: 128,922,225,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478,332,596 : 59,519,474,127 = 59,519,474,127 : x
  2. Step 2: Convert to fraction form
    27,478,332,596/59,519,474,127 = 59,519,474,127/x
  3. Step 3: Cross multiply
    27,478,332,596x = 59,519,474,127 × 59,519,474,127
  4. Step 4: Simplify right side
    27,478,332,596x = 3,542,567,800,354,622,668,800
  5. Step 5: Solve for x
    x = 3,542,567,800,354,622,668,800/27,478,332,596
  6. Step 6: Final answer
    x = 128,922,225,829.32

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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.