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Finding the Third Proportional to 668,793,934 and 1,033,011,430

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Solution

The third proportional to 668,793,934 and 1,033,011,430 is: 1,595,577,591.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,793,934 : 1,033,011,430 = 1,033,011,430 : x
  2. Step 2: Convert to fraction form
    668,793,934/1,033,011,430 = 1,033,011,430/x
  3. Step 3: Cross multiply
    668,793,934x = 1,033,011,430 × 1,033,011,430
  4. Step 4: Simplify right side
    668,793,934x = 1,067,112,614,510,644,864
  5. Step 5: Solve for x
    x = 1,067,112,614,510,644,864/668,793,934
  6. Step 6: Final answer
    x = 1,595,577,591.63

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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.