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Finding the Third Proportional to 5,715,216 and 8,706,816

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Solution

The third proportional to 5,715,216 and 8,706,816 is: 13,264,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715,216 : 8,706,816 = 8,706,816 : x
  2. Step 2: Convert to fraction form
    5,715,216/8,706,816 = 8,706,816/x
  3. Step 3: Cross multiply
    5,715,216x = 8,706,816 × 8,706,816
  4. Step 4: Simplify right side
    5,715,216x = 75,808,644,857,856
  5. Step 5: Solve for x
    x = 75,808,644,857,856/5,715,216
  6. Step 6: Final answer
    x = 13,264,353.41

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.