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Finding the Third Proportional to 5,805,675 and 8,120,205

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Solution

The third proportional to 5,805,675 and 8,120,205 is: 11,357,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805,675 : 8,120,205 = 8,120,205 : x
  2. Step 2: Convert to fraction form
    5,805,675/8,120,205 = 8,120,205/x
  3. Step 3: Cross multiply
    5,805,675x = 8,120,205 × 8,120,205
  4. Step 4: Simplify right side
    5,805,675x = 65,937,729,242,025
  5. Step 5: Solve for x
    x = 65,937,729,242,025/5,805,675
  6. Step 6: Final answer
    x = 11,357,461.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.