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Finding the Third Proportional to 6,146,839 and 13,406,112

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Solution

The third proportional to 6,146,839 and 13,406,112 is: 29,238,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146,839 : 13,406,112 = 13,406,112 : x
  2. Step 2: Convert to fraction form
    6,146,839/13,406,112 = 13,406,112/x
  3. Step 3: Cross multiply
    6,146,839x = 13,406,112 × 13,406,112
  4. Step 4: Simplify right side
    6,146,839x = 179,723,838,956,544
  5. Step 5: Solve for x
    x = 179,723,838,956,544/6,146,839
  6. Step 6: Final answer
    x = 29,238,416.52

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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.