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Finding the Third Proportional to 5,714,318 and 7,781,780

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Solution

The third proportional to 5,714,318 and 7,781,780 is: 10,597,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714,318 : 7,781,780 = 7,781,780 : x
  2. Step 2: Convert to fraction form
    5,714,318/7,781,780 = 7,781,780/x
  3. Step 3: Cross multiply
    5,714,318x = 7,781,780 × 7,781,780
  4. Step 4: Simplify right side
    5,714,318x = 60,556,099,968,400
  5. Step 5: Solve for x
    x = 60,556,099,968,400/5,714,318
  6. Step 6: Final answer
    x = 10,597,257.62

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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.