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Finding the Third Proportional to 233,132,571 and 510,067,503

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Solution

The third proportional to 233,132,571 and 510,067,503 is: 1,115,969,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,132,571 : 510,067,503 = 510,067,503 : x
  2. Step 2: Convert to fraction form
    233,132,571/510,067,503 = 510,067,503/x
  3. Step 3: Cross multiply
    233,132,571x = 510,067,503 × 510,067,503
  4. Step 4: Simplify right side
    233,132,571x = 260,168,857,616,655,008
  5. Step 5: Solve for x
    x = 260,168,857,616,655,008/233,132,571
  6. Step 6: Final answer
    x = 1,115,969,581.17

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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.