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Finding the Third Proportional to 27,671,915,413,584 and 59,508,358,943,680

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Solution

The third proportional to 27,671,915,413,584 and 59,508,358,943,680 is: 127,972,521,281,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671,915,413,584 : 59,508,358,943,680 = 59,508,358,943,680 : x
  2. Step 2: Convert to fraction form
    27,671,915,413,584/59,508,358,943,680 = 59,508,358,943,680/x
  3. Step 3: Cross multiply
    27,671,915,413,584x = 59,508,358,943,680 × 59,508,358,943,680
  4. Step 4: Simplify right side
    27,671,915,413,584x = 3,541,244,784,169,859,510,754,607,104
  5. Step 5: Solve for x
    x = 3,541,244,784,169,859,510,754,607,104/27,671,915,413,584
  6. Step 6: Final answer
    x = 127,972,521,281,684.78

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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.