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Finding the Third Proportional to 169,782,936 and 363,771,552

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Solution

The third proportional to 169,782,936 and 363,771,552 is: 779,405,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,782,936 : 363,771,552 = 363,771,552 : x
  2. Step 2: Convert to fraction form
    169,782,936/363,771,552 = 363,771,552/x
  3. Step 3: Cross multiply
    169,782,936x = 363,771,552 × 363,771,552
  4. Step 4: Simplify right side
    169,782,936x = 132,329,742,044,488,704
  5. Step 5: Solve for x
    x = 132,329,742,044,488,704/169,782,936
  6. Step 6: Final answer
    x = 779,405,428.85

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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.