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Finding the Third Proportional to 4,760,039 and 10,464,858

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Solution

The third proportional to 4,760,039 and 10,464,858 is: 23,006,797.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760,039 : 10,464,858 = 10,464,858 : x
  2. Step 2: Convert to fraction form
    4,760,039/10,464,858 = 10,464,858/x
  3. Step 3: Cross multiply
    4,760,039x = 10,464,858 × 10,464,858
  4. Step 4: Simplify right side
    4,760,039x = 109,513,252,960,164
  5. Step 5: Solve for x
    x = 109,513,252,960,164/4,760,039
  6. Step 6: Final answer
    x = 23,006,797.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.