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Finding the Third Proportional to 668,793,938 and 1,033,011,436

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Solution

The third proportional to 668,793,938 and 1,033,011,436 is: 1,595,577,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,793,938 : 1,033,011,436 = 1,033,011,436 : x
  2. Step 2: Convert to fraction form
    668,793,938/1,033,011,436 = 1,033,011,436/x
  3. Step 3: Cross multiply
    668,793,938x = 1,033,011,436 × 1,033,011,436
  4. Step 4: Simplify right side
    668,793,938x = 1,067,112,626,906,782,080
  5. Step 5: Solve for x
    x = 1,067,112,626,906,782,080/668,793,938
  6. Step 6: Final answer
    x = 1,595,577,600.63

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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.