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Finding the Third Proportional to 766,643,296 and 1,667,610,352

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Solution

The third proportional to 766,643,296 and 1,667,610,352 is: 3,627,403,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,643,296 : 1,667,610,352 = 1,667,610,352 : x
  2. Step 2: Convert to fraction form
    766,643,296/1,667,610,352 = 1,667,610,352/x
  3. Step 3: Cross multiply
    766,643,296x = 1,667,610,352 × 1,667,610,352
  4. Step 4: Simplify right side
    766,643,296x = 2,780,924,286,097,563,648
  5. Step 5: Solve for x
    x = 2,780,924,286,097,563,648/766,643,296
  6. Step 6: Final answer
    x = 3,627,403,122.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.