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Finding the Third Proportional to 217,675,479 and 473,613,234

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Solution

The third proportional to 217,675,479 and 473,613,234 is: 1,030,476,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,675,479 : 473,613,234 = 473,613,234 : x
  2. Step 2: Convert to fraction form
    217,675,479/473,613,234 = 473,613,234/x
  3. Step 3: Cross multiply
    217,675,479x = 473,613,234 × 473,613,234
  4. Step 4: Simplify right side
    217,675,479x = 224,309,495,419,938,752
  5. Step 5: Solve for x
    x = 224,309,495,419,938,752/217,675,479
  6. Step 6: Final answer
    x = 1,030,476,636.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.