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Finding the Third Proportional to 863,635,304 and 1,880,613,328

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Solution

The third proportional to 863,635,304 and 1,880,613,328 is: 4,095,138,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,635,304 : 1,880,613,328 = 1,880,613,328 : x
  2. Step 2: Convert to fraction form
    863,635,304/1,880,613,328 = 1,880,613,328/x
  3. Step 3: Cross multiply
    863,635,304x = 1,880,613,328 × 1,880,613,328
  4. Step 4: Simplify right side
    863,635,304x = 3,536,706,489,451,235,328
  5. Step 5: Solve for x
    x = 3,536,706,489,451,235,328/863,635,304
  6. Step 6: Final answer
    x = 4,095,138,854.41

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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.