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Finding the Third Proportional to 367,960,830 and 807,416,298

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Solution

The third proportional to 367,960,830 and 807,416,298 is: 1,771,713,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,960,830 : 807,416,298 = 807,416,298 : x
  2. Step 2: Convert to fraction form
    367,960,830/807,416,298 = 807,416,298/x
  3. Step 3: Cross multiply
    367,960,830x = 807,416,298 × 807,416,298
  4. Step 4: Simplify right side
    367,960,830x = 651,921,078,276,024,832
  5. Step 5: Solve for x
    x = 651,921,078,276,024,832/367,960,830
  6. Step 6: Final answer
    x = 1,771,713,250.77

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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.