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Finding the Third Proportional to 6,009,769 and 9,311,533

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Solution

The third proportional to 6,009,769 and 9,311,533 is: 14,427,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009,769 : 9,311,533 = 9,311,533 : x
  2. Step 2: Convert to fraction form
    6,009,769/9,311,533 = 9,311,533/x
  3. Step 3: Cross multiply
    6,009,769x = 9,311,533 × 9,311,533
  4. Step 4: Simplify right side
    6,009,769x = 86,704,646,810,089
  5. Step 5: Solve for x
    x = 86,704,646,810,089/6,009,769
  6. Step 6: Final answer
    x = 14,427,284.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.