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Finding the Third Proportional to 44,796,391,410 and 95,982,376,314

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Solution

The third proportional to 44,796,391,410 and 95,982,376,314 is: 205,655,327,871.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,796,391,410 : 95,982,376,314 = 95,982,376,314 : x
  2. Step 2: Convert to fraction form
    44,796,391,410/95,982,376,314 = 95,982,376,314/x
  3. Step 3: Cross multiply
    44,796,391,410x = 95,982,376,314 × 95,982,376,314
  4. Step 4: Simplify right side
    44,796,391,410x = 9,212,616,562,882,308,472,832
  5. Step 5: Solve for x
    x = 9,212,616,562,882,308,472,832/44,796,391,410
  6. Step 6: Final answer
    x = 205,655,327,871.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.