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Finding the Third Proportional to 633,146,825 and 1,375,286,310

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Solution

The third proportional to 633,146,825 and 1,375,286,310 is: 2,987,320,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,146,825 : 1,375,286,310 = 1,375,286,310 : x
  2. Step 2: Convert to fraction form
    633,146,825/1,375,286,310 = 1,375,286,310/x
  3. Step 3: Cross multiply
    633,146,825x = 1,375,286,310 × 1,375,286,310
  4. Step 4: Simplify right side
    633,146,825x = 1,891,412,434,473,416,192
  5. Step 5: Solve for x
    x = 1,891,412,434,473,416,192/633,146,825
  6. Step 6: Final answer
    x = 2,987,320,412.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.