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Finding the Third Proportional to 27,273,172,869,460 and 59,347,524,033,352

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Solution

The third proportional to 27,273,172,869,460 and 59,347,524,033,352 is: 129,142,605,656,759.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,273,172,869,460 : 59,347,524,033,352 = 59,347,524,033,352 : x
  2. Step 2: Convert to fraction form
    27,273,172,869,460/59,347,524,033,352 = 59,347,524,033,352/x
  3. Step 3: Cross multiply
    27,273,172,869,460x = 59,347,524,033,352 × 59,347,524,033,352
  4. Step 4: Simplify right side
    27,273,172,869,460x = 3,522,128,608,889,293,397,456,584,704
  5. Step 5: Solve for x
    x = 3,522,128,608,889,293,397,456,584,704/27,273,172,869,460
  6. Step 6: Final answer
    x = 129,142,605,656,759.08

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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.