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Finding the Third Proportional to 169,782,942 and 363,771,564

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Solution

The third proportional to 169,782,942 and 363,771,564 is: 779,405,452.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,782,942 : 363,771,564 = 363,771,564 : x
  2. Step 2: Convert to fraction form
    169,782,942/363,771,564 = 363,771,564/x
  3. Step 3: Cross multiply
    169,782,942x = 363,771,564 × 363,771,564
  4. Step 4: Simplify right side
    169,782,942x = 132,329,750,775,006,096
  5. Step 5: Solve for x
    x = 132,329,750,775,006,096/169,782,942
  6. Step 6: Final answer
    x = 779,405,452.73

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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.