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Finding the Third Proportional to 713,448,467 and 1,567,197,331

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Solution

The third proportional to 713,448,467 and 1,567,197,331 is: 3,442,585,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,448,467 : 1,567,197,331 = 1,567,197,331 : x
  2. Step 2: Convert to fraction form
    713,448,467/1,567,197,331 = 1,567,197,331/x
  3. Step 3: Cross multiply
    713,448,467x = 1,567,197,331 × 1,567,197,331
  4. Step 4: Simplify right side
    713,448,467x = 2,456,107,474,293,523,456
  5. Step 5: Solve for x
    x = 2,456,107,474,293,523,456/713,448,467
  6. Step 6: Final answer
    x = 3,442,585,677.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.