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Finding the Third Proportional to 27,285,225,084 and 59,375,040,090

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Solution

The third proportional to 27,285,225,084 and 59,375,040,090 is: 129,205,288,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,285,225,084 : 59,375,040,090 = 59,375,040,090 : x
  2. Step 2: Convert to fraction form
    27,285,225,084/59,375,040,090 = 59,375,040,090/x
  3. Step 3: Cross multiply
    27,285,225,084x = 59,375,040,090 × 59,375,040,090
  4. Step 4: Simplify right side
    27,285,225,084x = 3,525,395,385,689,107,333,120
  5. Step 5: Solve for x
    x = 3,525,395,385,689,107,333,120/27,285,225,084
  6. Step 6: Final answer
    x = 129,205,288,753.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.