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Finding the Third Proportional to 6,488,064 and 9,485,568

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Solution

The third proportional to 6,488,064 and 9,485,568 is: 13,867,927.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488,064 : 9,485,568 = 9,485,568 : x
  2. Step 2: Convert to fraction form
    6,488,064/9,485,568 = 9,485,568/x
  3. Step 3: Cross multiply
    6,488,064x = 9,485,568 × 9,485,568
  4. Step 4: Simplify right side
    6,488,064x = 89,976,000,282,624
  5. Step 5: Solve for x
    x = 89,976,000,282,624/6,488,064
  6. Step 6: Final answer
    x = 13,867,927.36

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.