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Finding the Third Proportional to 1,787,769,674 and 3,848,766,280

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Solution

The third proportional to 1,787,769,674 and 3,848,766,280 is: 8,285,744,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787,769,674 : 3,848,766,280 = 3,848,766,280 : x
  2. Step 2: Convert to fraction form
    1,787,769,674/3,848,766,280 = 3,848,766,280/x
  3. Step 3: Cross multiply
    1,787,769,674x = 3,848,766,280 × 3,848,766,280
  4. Step 4: Simplify right side
    1,787,769,674x = 14,813,001,878,065,039,360
  5. Step 5: Solve for x
    x = 14,813,001,878,065,039,360/1,787,769,674
  6. Step 6: Final answer
    x = 8,285,744,015.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.