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Finding the Third Proportional to 4,631,958 and 10,206,276

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Solution

The third proportional to 4,631,958 and 10,206,276 is: 22,488,992.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631,958 : 10,206,276 = 10,206,276 : x
  2. Step 2: Convert to fraction form
    4,631,958/10,206,276 = 10,206,276/x
  3. Step 3: Cross multiply
    4,631,958x = 10,206,276 × 10,206,276
  4. Step 4: Simplify right side
    4,631,958x = 104,168,069,788,176
  5. Step 5: Solve for x
    x = 104,168,069,788,176/4,631,958
  6. Step 6: Final answer
    x = 22,488,992.73

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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.