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Finding the Third Proportional to 714,493,620 and 1,532,367,336

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Solution

The third proportional to 714,493,620 and 1,532,367,336 is: 3,286,452,932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,493,620 : 1,532,367,336 = 1,532,367,336 : x
  2. Step 2: Convert to fraction form
    714,493,620/1,532,367,336 = 1,532,367,336/x
  3. Step 3: Cross multiply
    714,493,620x = 1,532,367,336 × 1,532,367,336
  4. Step 4: Simplify right side
    714,493,620x = 2,348,149,652,439,736,832
  5. Step 5: Solve for x
    x = 2,348,149,652,439,736,832/714,493,620
  6. Step 6: Final answer
    x = 3,286,452,932.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.