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Finding the Third Proportional to 7,760,346.75 and 16,018,782.75

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Solution

The third proportional to 7,760,346.75 and 16,018,782.75 is: 33,065,713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760,346.75 : 16,018,782.75 = 16,018,782.75 : x
  2. Step 2: Convert to fraction form
    7,760,346.75/16,018,782.75 = 16,018,782.75/x
  3. Step 3: Cross multiply
    7,760,346.75x = 16,018,782.75 × 16,018,782.75
  4. Step 4: Simplify right side
    7,760,346.75x = 256,601,400,791,697.56
  5. Step 5: Solve for x
    x = 256,601,400,791,697.56/7,760,346.75
  6. Step 6: Final answer
    x = 33,065,713.31

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.