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Finding the Third Proportional to 7,268,864 and 15,858,037

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Solution

The third proportional to 7,268,864 and 15,858,037 is: 34,596,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268,864 : 15,858,037 = 15,858,037 : x
  2. Step 2: Convert to fraction form
    7,268,864/15,858,037 = 15,858,037/x
  3. Step 3: Cross multiply
    7,268,864x = 15,858,037 × 15,858,037
  4. Step 4: Simplify right side
    7,268,864x = 251,477,337,493,369
  5. Step 5: Solve for x
    x = 251,477,337,493,369/7,268,864
  6. Step 6: Final answer
    x = 34,596,511.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.