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Finding the Third Proportional to 6,098,796 and 8,130,647.25

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Solution

The third proportional to 6,098,796 and 8,130,647.25 is: 10,839,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098,796 : 8,130,647.25 = 8,130,647.25 : x
  2. Step 2: Convert to fraction form
    6,098,796/8,130,647.25 = 8,130,647.25/x
  3. Step 3: Cross multiply
    6,098,796x = 8,130,647.25 × 8,130,647.25
  4. Step 4: Simplify right side
    6,098,796x = 66,107,424,703,932.56
  5. Step 5: Solve for x
    x = 66,107,424,703,932.56/6,098,796
  6. Step 6: Final answer
    x = 10,839,422.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.