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Finding the Third Proportional to 4,734,297 and 10,354,509

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Solution

The third proportional to 4,734,297 and 10,354,509 is: 22,646,626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734,297 : 10,354,509 = 10,354,509 : x
  2. Step 2: Convert to fraction form
    4,734,297/10,354,509 = 10,354,509/x
  3. Step 3: Cross multiply
    4,734,297x = 10,354,509 × 10,354,509
  4. Step 4: Simplify right side
    4,734,297x = 107,215,856,631,081
  5. Step 5: Solve for x
    x = 107,215,856,631,081/4,734,297
  6. Step 6: Final answer
    x = 22,646,626.65

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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.