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Finding the Third Proportional to 3,288,487,754 and 7,760,242,617

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Solution

The third proportional to 3,288,487,754 and 7,760,242,617 is: 18,312,783,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288,487,754 : 7,760,242,617 = 7,760,242,617 : x
  2. Step 2: Convert to fraction form
    3,288,487,754/7,760,242,617 = 7,760,242,617/x
  3. Step 3: Cross multiply
    3,288,487,754x = 7,760,242,617 × 7,760,242,617
  4. Step 4: Simplify right side
    3,288,487,754x = 60,221,365,474,703,007,744
  5. Step 5: Solve for x
    x = 60,221,365,474,703,007,744/3,288,487,754
  6. Step 6: Final answer
    x = 18,312,783,862.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.