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Finding the Third Proportional to 4,717,619 and 10,318,511

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Solution

The third proportional to 4,717,619 and 10,318,511 is: 22,568,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717,619 : 10,318,511 = 10,318,511 : x
  2. Step 2: Convert to fraction form
    4,717,619/10,318,511 = 10,318,511/x
  3. Step 3: Cross multiply
    4,717,619x = 10,318,511 × 10,318,511
  4. Step 4: Simplify right side
    4,717,619x = 106,471,669,257,121
  5. Step 5: Solve for x
    x = 106,471,669,257,121/4,717,619
  6. Step 6: Final answer
    x = 22,568,941.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.