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Finding the Third Proportional to 668,793,924.25 and 1,033,011,414.38

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Solution

The third proportional to 668,793,924.25 and 1,033,011,414.38 is: 1,595,577,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,793,924.25 : 1,033,011,414.38 = 1,033,011,414.38 : x
  2. Step 2: Convert to fraction form
    668,793,924.25/1,033,011,414.38 = 1,033,011,414.38/x
  3. Step 3: Cross multiply
    668,793,924.25x = 1,033,011,414.38 × 1,033,011,414.38
  4. Step 4: Simplify right side
    668,793,924.25x = 1,067,112,582,229,037,952
  5. Step 5: Solve for x
    x = 1,067,112,582,229,037,952/668,793,924.25
  6. Step 6: Final answer
    x = 1,595,577,566.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.