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Finding the Third Proportional to 6,065,009 and 13,192,900

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Solution

The third proportional to 6,065,009 and 13,192,900 is: 28,697,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065,009 : 13,192,900 = 13,192,900 : x
  2. Step 2: Convert to fraction form
    6,065,009/13,192,900 = 13,192,900/x
  3. Step 3: Cross multiply
    6,065,009x = 13,192,900 × 13,192,900
  4. Step 4: Simplify right side
    6,065,009x = 174,052,610,410,000
  5. Step 5: Solve for x
    x = 174,052,610,410,000/6,065,009
  6. Step 6: Final answer
    x = 28,697,832.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.