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Finding the Third Proportional to 769,015,948 and 1,191,521,832

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Solution

The third proportional to 769,015,948 and 1,191,521,832 is: 1,846,157,130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,015,948 : 1,191,521,832 = 1,191,521,832 : x
  2. Step 2: Convert to fraction form
    769,015,948/1,191,521,832 = 1,191,521,832/x
  3. Step 3: Cross multiply
    769,015,948x = 1,191,521,832 × 1,191,521,832
  4. Step 4: Simplify right side
    769,015,948x = 1,419,724,276,132,636,160
  5. Step 5: Solve for x
    x = 1,419,724,276,132,636,160/769,015,948
  6. Step 6: Final answer
    x = 1,846,157,130.84

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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.