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Finding the Third Proportional to 5,715,216 and 7,761,888

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Solution

The third proportional to 5,715,216 and 7,761,888 is: 10,541,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715,216 : 7,761,888 = 7,761,888 : x
  2. Step 2: Convert to fraction form
    5,715,216/7,761,888 = 7,761,888/x
  3. Step 3: Cross multiply
    5,715,216x = 7,761,888 × 7,761,888
  4. Step 4: Simplify right side
    5,715,216x = 60,246,905,324,544
  5. Step 5: Solve for x
    x = 60,246,905,324,544/5,715,216
  6. Step 6: Final answer
    x = 10,541,492.28

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.