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Finding the Third Proportional to 512,498,006.63 and 765,388,655.25

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Solution

The third proportional to 512,498,006.63 and 765,388,655.25 is: 1,143,067,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,498,006.63 : 765,388,655.25 = 765,388,655.25 : x
  2. Step 2: Convert to fraction form
    512,498,006.63/765,388,655.25 = 765,388,655.25/x
  3. Step 3: Cross multiply
    512,498,006.63x = 765,388,655.25 × 765,388,655.25
  4. Step 4: Simplify right side
    512,498,006.63x = 585,819,793,585,403,392
  5. Step 5: Solve for x
    x = 585,819,793,585,403,392/512,498,006.63
  6. Step 6: Final answer
    x = 1,143,067,457.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.