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Finding the Third Proportional to 367,960,828 and 807,416,296

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Solution

The third proportional to 367,960,828 and 807,416,296 is: 1,771,713,251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,960,828 : 807,416,296 = 807,416,296 : x
  2. Step 2: Convert to fraction form
    367,960,828/807,416,296 = 807,416,296/x
  3. Step 3: Cross multiply
    367,960,828x = 807,416,296 × 807,416,296
  4. Step 4: Simplify right side
    367,960,828x = 651,921,075,046,359,552
  5. Step 5: Solve for x
    x = 651,921,075,046,359,552/367,960,828
  6. Step 6: Final answer
    x = 1,771,713,251.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.