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Finding the Third Proportional to 27,285,224,164 and 59,375,038,272

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Solution

The third proportional to 27,285,224,164 and 59,375,038,272 is: 129,205,285,198.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,285,224,164 : 59,375,038,272 = 59,375,038,272 : x
  2. Step 2: Convert to fraction form
    27,285,224,164/59,375,038,272 = 59,375,038,272/x
  3. Step 3: Cross multiply
    27,285,224,164x = 59,375,038,272 × 59,375,038,272
  4. Step 4: Simplify right side
    27,285,224,164x = 3,525,395,169,801,464,709,120
  5. Step 5: Solve for x
    x = 3,525,395,169,801,464,709,120/27,285,224,164
  6. Step 6: Final answer
    x = 129,205,285,198.02

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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.