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Finding the Third Proportional to 864,846,540 and 1,865,741,760

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Solution

The third proportional to 864,846,540 and 1,865,741,760 is: 4,024,982,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,846,540 : 1,865,741,760 = 1,865,741,760 : x
  2. Step 2: Convert to fraction form
    864,846,540/1,865,741,760 = 1,865,741,760/x
  3. Step 3: Cross multiply
    864,846,540x = 1,865,741,760 × 1,865,741,760
  4. Step 4: Simplify right side
    864,846,540x = 3,480,992,315,007,897,600
  5. Step 5: Solve for x
    x = 3,480,992,315,007,897,600/864,846,540
  6. Step 6: Final answer
    x = 4,024,982,646.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.