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Finding the Third Proportional to 1,787,769,792 and 3,848,766,480

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Solution

The third proportional to 1,787,769,792 and 3,848,766,480 is: 8,285,744,330.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787,769,792 : 3,848,766,480 = 3,848,766,480 : x
  2. Step 2: Convert to fraction form
    1,787,769,792/3,848,766,480 = 3,848,766,480/x
  3. Step 3: Cross multiply
    1,787,769,792x = 3,848,766,480 × 3,848,766,480
  4. Step 4: Simplify right side
    1,787,769,792x = 14,813,003,417,571,590,144
  5. Step 5: Solve for x
    x = 14,813,003,417,571,590,144/1,787,769,792
  6. Step 6: Final answer
    x = 8,285,744,330.09

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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.