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Finding the Third Proportional to 4,492,611.84 and 6,424,482.09

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Solution

The third proportional to 4,492,611.84 and 6,424,482.09 is: 9,187,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492,611.84 : 6,424,482.09 = 6,424,482.09 : x
  2. Step 2: Convert to fraction form
    4,492,611.84/6,424,482.09 = 6,424,482.09/x
  3. Step 3: Cross multiply
    4,492,611.84x = 6,424,482.09 × 6,424,482.09
  4. Step 4: Simplify right side
    4,492,611.84x = 41,273,970,172,914.38
  5. Step 5: Solve for x
    x = 41,273,970,172,914.38/4,492,611.84
  6. Step 6: Final answer
    x = 9,187,076.83

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.