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Finding the Third Proportional to 322,406,609 and 699,551,635

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Solution

The third proportional to 322,406,609 and 699,551,635 is: 1,517,873,630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,406,609 : 699,551,635 = 699,551,635 : x
  2. Step 2: Convert to fraction form
    322,406,609/699,551,635 = 699,551,635/x
  3. Step 3: Cross multiply
    322,406,609x = 699,551,635 × 699,551,635
  4. Step 4: Simplify right side
    322,406,609x = 489,372,490,031,173,248
  5. Step 5: Solve for x
    x = 489,372,490,031,173,248/322,406,609
  6. Step 6: Final answer
    x = 1,517,873,630.29

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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.