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Finding the Third Proportional to 296,538,005 and 617,620,285

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Solution

The third proportional to 296,538,005 and 617,620,285 is: 1,286,360,635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,538,005 : 617,620,285 = 617,620,285 : x
  2. Step 2: Convert to fraction form
    296,538,005/617,620,285 = 617,620,285/x
  3. Step 3: Cross multiply
    296,538,005x = 617,620,285 × 617,620,285
  4. Step 4: Simplify right side
    296,538,005x = 381,454,816,443,481,216
  5. Step 5: Solve for x
    x = 381,454,816,443,481,216/296,538,005
  6. Step 6: Final answer
    x = 1,286,360,635.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.