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Finding the Third Proportional to 786,375,391.50 and 1,703,603,367

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Solution

The third proportional to 786,375,391.50 and 1,703,603,367 is: 3,690,685,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,375,391.50 : 1,703,603,367 = 1,703,603,367 : x
  2. Step 2: Convert to fraction form
    786,375,391.50/1,703,603,367 = 1,703,603,367/x
  3. Step 3: Cross multiply
    786,375,391.50x = 1,703,603,367 × 1,703,603,367
  4. Step 4: Simplify right side
    786,375,391.50x = 2,902,264,432,053,736,448
  5. Step 5: Solve for x
    x = 2,902,264,432,053,736,448/786,375,391.50
  6. Step 6: Final answer
    x = 3,690,685,725.20

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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.