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Finding the Third Proportional to 4,618,647 and 10,129,590

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Solution

The third proportional to 4,618,647 and 10,129,590 is: 22,216,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618,647 : 10,129,590 = 10,129,590 : x
  2. Step 2: Convert to fraction form
    4,618,647/10,129,590 = 10,129,590/x
  3. Step 3: Cross multiply
    4,618,647x = 10,129,590 × 10,129,590
  4. Step 4: Simplify right side
    4,618,647x = 102,608,593,568,100
  5. Step 5: Solve for x
    x = 102,608,593,568,100/4,618,647
  6. Step 6: Final answer
    x = 22,216,158.45

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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.