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Finding the Third Proportional to 27,671,915,413,586 and 59,508,358,943,684

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Solution

The third proportional to 27,671,915,413,586 and 59,508,358,943,684 is: 127,972,521,281,692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671,915,413,586 : 59,508,358,943,684 = 59,508,358,943,684 : x
  2. Step 2: Convert to fraction form
    27,671,915,413,586/59,508,358,943,684 = 59,508,358,943,684/x
  3. Step 3: Cross multiply
    27,671,915,413,586x = 59,508,358,943,684 × 59,508,358,943,684
  4. Step 4: Simplify right side
    27,671,915,413,586x = 3,541,244,784,170,335,599,289,434,112
  5. Step 5: Solve for x
    x = 3,541,244,784,170,335,599,289,434,112/27,671,915,413,586
  6. Step 6: Final answer
    x = 127,972,521,281,692.73

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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.