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Finding the Third Proportional to 7,759,962 and 11,747,298

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Solution

The third proportional to 7,759,962 and 11,747,298 is: 17,783,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759,962 : 11,747,298 = 11,747,298 : x
  2. Step 2: Convert to fraction form
    7,759,962/11,747,298 = 11,747,298/x
  3. Step 3: Cross multiply
    7,759,962x = 11,747,298 × 11,747,298
  4. Step 4: Simplify right side
    7,759,962x = 137,999,010,300,804
  5. Step 5: Solve for x
    x = 137,999,010,300,804/7,759,962
  6. Step 6: Final answer
    x = 17,783,464.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.