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Finding the Third Proportional to 769,015,950 and 1,191,521,835

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Solution

The third proportional to 769,015,950 and 1,191,521,835 is: 1,846,157,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,015,950 : 1,191,521,835 = 1,191,521,835 : x
  2. Step 2: Convert to fraction form
    769,015,950/1,191,521,835 = 1,191,521,835/x
  3. Step 3: Cross multiply
    769,015,950x = 1,191,521,835 × 1,191,521,835
  4. Step 4: Simplify right side
    769,015,950x = 1,419,724,283,281,767,168
  5. Step 5: Solve for x
    x = 1,419,724,283,281,767,168/769,015,950
  6. Step 6: Final answer
    x = 1,846,157,135.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.