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Finding the Third Proportional to 5,916,078 and 8,454,213

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Solution

The third proportional to 5,916,078 and 8,454,213 is: 12,081,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916,078 : 8,454,213 = 8,454,213 : x
  2. Step 2: Convert to fraction form
    5,916,078/8,454,213 = 8,454,213/x
  3. Step 3: Cross multiply
    5,916,078x = 8,454,213 × 8,454,213
  4. Step 4: Simplify right side
    5,916,078x = 71,473,717,449,369
  5. Step 5: Solve for x
    x = 71,473,717,449,369/5,916,078
  6. Step 6: Final answer
    x = 12,081,266.92

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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.