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Finding the Third Proportional to 5,139,832 and 10,963,647

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Solution

The third proportional to 5,139,832 and 10,963,647 is: 23,386,281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139,832 : 10,963,647 = 10,963,647 : x
  2. Step 2: Convert to fraction form
    5,139,832/10,963,647 = 10,963,647/x
  3. Step 3: Cross multiply
    5,139,832x = 10,963,647 × 10,963,647
  4. Step 4: Simplify right side
    5,139,832x = 120,201,555,540,609
  5. Step 5: Solve for x
    x = 120,201,555,540,609/5,139,832
  6. Step 6: Final answer
    x = 23,386,281.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.