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Finding the Third Proportional to 228,407,042 and 338,462,674

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Solution

The third proportional to 228,407,042 and 338,462,674 is: 501,547,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,407,042 : 338,462,674 = 338,462,674 : x
  2. Step 2: Convert to fraction form
    228,407,042/338,462,674 = 338,462,674/x
  3. Step 3: Cross multiply
    228,407,042x = 338,462,674 × 338,462,674
  4. Step 4: Simplify right side
    228,407,042x = 114,556,981,691,230,272
  5. Step 5: Solve for x
    x = 114,556,981,691,230,272/228,407,042
  6. Step 6: Final answer
    x = 501,547,503.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.