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Finding the Third Proportional to 59,878,887,027.50 and 128,839,512,972.25

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Solution

The third proportional to 59,878,887,027.50 and 128,839,512,972.25 is: 277,219,917,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,878,887,027.50 : 128,839,512,972.25 = 128,839,512,972.25 : x
  2. Step 2: Convert to fraction form
    59,878,887,027.50/128,839,512,972.25 = 128,839,512,972.25/x
  3. Step 3: Cross multiply
    59,878,887,027.50x = 128,839,512,972.25 × 128,839,512,972.25
  4. Step 4: Simplify right side
    59,878,887,027.50x = 16,599,620,102,926,576,386,048
  5. Step 5: Solve for x
    x = 16,599,620,102,926,576,386,048/59,878,887,027.50
  6. Step 6: Final answer
    x = 277,219,917,185.55

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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.