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Finding the Third Proportional to 1,805,342,655 and 3,931,186,836

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Solution

The third proportional to 1,805,342,655 and 3,931,186,836 is: 8,560,275,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805,342,655 : 3,931,186,836 = 3,931,186,836 : x
  2. Step 2: Convert to fraction form
    1,805,342,655/3,931,186,836 = 3,931,186,836/x
  3. Step 3: Cross multiply
    1,805,342,655x = 3,931,186,836 × 3,931,186,836
  4. Step 4: Simplify right side
    1,805,342,655x = 15,454,229,939,539,691,520
  5. Step 5: Solve for x
    x = 15,454,229,939,539,691,520/1,805,342,655
  6. Step 6: Final answer
    x = 8,560,275,190.27

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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.