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Finding the Third Proportional to 27,671,915,412,448 and 59,508,358,941,375

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Solution

The third proportional to 27,671,915,412,448 and 59,508,358,941,375 is: 127,972,521,277,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671,915,412,448 : 59,508,358,941,375 = 59,508,358,941,375 : x
  2. Step 2: Convert to fraction form
    27,671,915,412,448/59,508,358,941,375 = 59,508,358,941,375/x
  3. Step 3: Cross multiply
    27,671,915,412,448x = 59,508,358,941,375 × 59,508,358,941,375
  4. Step 4: Simplify right side
    27,671,915,412,448x = 3,541,244,783,895,525,862,066,356,224
  5. Step 5: Solve for x
    x = 3,541,244,783,895,525,862,066,356,224/27,671,915,412,448
  6. Step 6: Final answer
    x = 127,972,521,277,024.58

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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.