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Finding the Third Proportional to 375,034,647 and 807,671,325

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Solution

The third proportional to 375,034,647 and 807,671,325 is: 1,739,393,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,034,647 : 807,671,325 = 807,671,325 : x
  2. Step 2: Convert to fraction form
    375,034,647/807,671,325 = 807,671,325/x
  3. Step 3: Cross multiply
    375,034,647x = 807,671,325 × 807,671,325
  4. Step 4: Simplify right side
    375,034,647x = 652,332,969,227,255,680
  5. Step 5: Solve for x
    x = 652,332,969,227,255,680/375,034,647
  6. Step 6: Final answer
    x = 1,739,393,878.53

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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.