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Finding the Third Proportional to 6,178,874 and 13,456,210

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Solution

The third proportional to 6,178,874 and 13,456,210 is: 29,304,625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178,874 : 13,456,210 = 13,456,210 : x
  2. Step 2: Convert to fraction form
    6,178,874/13,456,210 = 13,456,210/x
  3. Step 3: Cross multiply
    6,178,874x = 13,456,210 × 13,456,210
  4. Step 4: Simplify right side
    6,178,874x = 181,069,587,564,100
  5. Step 5: Solve for x
    x = 181,069,587,564,100/6,178,874
  6. Step 6: Final answer
    x = 29,304,625.34

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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.