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Finding the Third Proportional to 6,178,920 and 13,456,304

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Solution

The third proportional to 6,178,920 and 13,456,304 is: 29,304,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178,920 : 13,456,304 = 13,456,304 : x
  2. Step 2: Convert to fraction form
    6,178,920/13,456,304 = 13,456,304/x
  3. Step 3: Cross multiply
    6,178,920x = 13,456,304 × 13,456,304
  4. Step 4: Simplify right side
    6,178,920x = 181,072,117,340,416
  5. Step 5: Solve for x
    x = 181,072,117,340,416/6,178,920
  6. Step 6: Final answer
    x = 29,304,816.59

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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.