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Finding the Third Proportional to 59,515,445,432 and 128,498,504,916

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Solution

The third proportional to 59,515,445,432 and 128,498,504,916 is: 277,438,329,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,515,445,432 : 128,498,504,916 = 128,498,504,916 : x
  2. Step 2: Convert to fraction form
    59,515,445,432/128,498,504,916 = 128,498,504,916/x
  3. Step 3: Cross multiply
    59,515,445,432x = 128,498,504,916 × 128,498,504,916
  4. Step 4: Simplify right side
    59,515,445,432x = 16,511,865,765,647,276,310,528
  5. Step 5: Solve for x
    x = 16,511,865,765,647,276,310,528/59,515,445,432
  6. Step 6: Final answer
    x = 277,438,329,593.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.