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Finding the Third Proportional to 863,654,910 and 1,880,652,540

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Solution

The third proportional to 863,654,910 and 1,880,652,540 is: 4,095,216,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,654,910 : 1,880,652,540 = 1,880,652,540 : x
  2. Step 2: Convert to fraction form
    863,654,910/1,880,652,540 = 1,880,652,540/x
  3. Step 3: Cross multiply
    863,654,910x = 1,880,652,540 × 1,880,652,540
  4. Step 4: Simplify right side
    863,654,910x = 3,536,853,976,208,451,584
  5. Step 5: Solve for x
    x = 3,536,853,976,208,451,584/863,654,910
  6. Step 6: Final answer
    x = 4,095,216,660.33

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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.