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Finding the Third Proportional to 776,838,744 and 1,664,482,824

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Solution

The third proportional to 776,838,744 and 1,664,482,824 is: 3,566,381,173.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,838,744 : 1,664,482,824 = 1,664,482,824 : x
  2. Step 2: Convert to fraction form
    776,838,744/1,664,482,824 = 1,664,482,824/x
  3. Step 3: Cross multiply
    776,838,744x = 1,664,482,824 × 1,664,482,824
  4. Step 4: Simplify right side
    776,838,744x = 2,770,503,071,391,014,912
  5. Step 5: Solve for x
    x = 2,770,503,071,391,014,912/776,838,744
  6. Step 6: Final answer
    x = 3,566,381,173.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.