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Finding the Third Proportional to 6,178,875 and 13,456,212

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Solution

The third proportional to 6,178,875 and 13,456,212 is: 29,304,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178,875 : 13,456,212 = 13,456,212 : x
  2. Step 2: Convert to fraction form
    6,178,875/13,456,212 = 13,456,212/x
  3. Step 3: Cross multiply
    6,178,875x = 13,456,212 × 13,456,212
  4. Step 4: Simplify right side
    6,178,875x = 181,069,641,388,944
  5. Step 5: Solve for x
    x = 181,069,641,388,944/6,178,875
  6. Step 6: Final answer
    x = 29,304,629.30

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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.