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Finding the Third Proportional to 233,132,566 and 510,067,492

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Solution

The third proportional to 233,132,566 and 510,067,492 is: 1,115,969,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,132,566 : 510,067,492 = 510,067,492 : x
  2. Step 2: Convert to fraction form
    233,132,566/510,067,492 = 510,067,492/x
  3. Step 3: Cross multiply
    233,132,566x = 510,067,492 × 510,067,492
  4. Step 4: Simplify right side
    233,132,566x = 260,168,846,395,170,048
  5. Step 5: Solve for x
    x = 260,168,846,395,170,048/233,132,566
  6. Step 6: Final answer
    x = 1,115,969,556.97

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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.