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Finding the Third Proportional to 375,034,648 and 807,671,322

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Solution

The third proportional to 375,034,648 and 807,671,322 is: 1,739,393,860.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,034,648 : 807,671,322 = 807,671,322 : x
  2. Step 2: Convert to fraction form
    375,034,648/807,671,322 = 807,671,322/x
  3. Step 3: Cross multiply
    375,034,648x = 807,671,322 × 807,671,322
  4. Step 4: Simplify right side
    375,034,648x = 652,332,964,381,227,648
  5. Step 5: Solve for x
    x = 652,332,964,381,227,648/375,034,648
  6. Step 6: Final answer
    x = 1,739,393,860.97

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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.