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Finding the Third Proportional to 348,679,780 and 765,375,536

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Solution

The third proportional to 348,679,780 and 765,375,536 is: 1,680,050,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,679,780 : 765,375,536 = 765,375,536 : x
  2. Step 2: Convert to fraction form
    348,679,780/765,375,536 = 765,375,536/x
  3. Step 3: Cross multiply
    348,679,780x = 765,375,536 × 765,375,536
  4. Step 4: Simplify right side
    348,679,780x = 585,799,711,107,287,296
  5. Step 5: Solve for x
    x = 585,799,711,107,287,296/348,679,780
  6. Step 6: Final answer
    x = 1,680,050,707.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.