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Finding the Third Proportional to 383,456,960 and 838,658,680

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Solution

The third proportional to 383,456,960 and 838,658,680 is: 1,834,230,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,456,960 : 838,658,680 = 838,658,680 : x
  2. Step 2: Convert to fraction form
    383,456,960/838,658,680 = 838,658,680/x
  3. Step 3: Cross multiply
    383,456,960x = 838,658,680 × 838,658,680
  4. Step 4: Simplify right side
    383,456,960x = 703,348,381,539,342,336
  5. Step 5: Solve for x
    x = 703,348,381,539,342,336/383,456,960
  6. Step 6: Final answer
    x = 1,834,230,317.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.