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Finding the Third Proportional to 6,437,816 and 13,921,036

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Solution

The third proportional to 6,437,816 and 13,921,036 is: 30,102,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437,816 : 13,921,036 = 13,921,036 : x
  2. Step 2: Convert to fraction form
    6,437,816/13,921,036 = 13,921,036/x
  3. Step 3: Cross multiply
    6,437,816x = 13,921,036 × 13,921,036
  4. Step 4: Simplify right side
    6,437,816x = 193,795,243,313,296
  5. Step 5: Solve for x
    x = 193,795,243,313,296/6,437,816
  6. Step 6: Final answer
    x = 30,102,637.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.