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Finding the Third Proportional to 27,406,150,783 and 43,608,573,514

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Solution

The third proportional to 27,406,150,783 and 43,608,573,514 is: 69,389,813,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406,150,783 : 43,608,573,514 = 43,608,573,514 : x
  2. Step 2: Convert to fraction form
    27,406,150,783/43,608,573,514 = 43,608,573,514/x
  3. Step 3: Cross multiply
    27,406,150,783x = 43,608,573,514 × 43,608,573,514
  4. Step 4: Simplify right side
    27,406,150,783x = 1,901,707,683,925,942,337,536
  5. Step 5: Solve for x
    x = 1,901,707,683,925,942,337,536/27,406,150,783
  6. Step 6: Final answer
    x = 69,389,813,220.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.