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Finding the Third Proportional to 6,871,424 and 14,629,888

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Solution

The third proportional to 6,871,424 and 14,629,888 is: 31,148,365.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871,424 : 14,629,888 = 14,629,888 : x
  2. Step 2: Convert to fraction form
    6,871,424/14,629,888 = 14,629,888/x
  3. Step 3: Cross multiply
    6,871,424x = 14,629,888 × 14,629,888
  4. Step 4: Simplify right side
    6,871,424x = 214,033,622,892,544
  5. Step 5: Solve for x
    x = 214,033,622,892,544/6,871,424
  6. Step 6: Final answer
    x = 31,148,365.01

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.