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Finding the Third Proportional to 10,438,316 and 22,493,221

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Solution

The third proportional to 10,438,316 and 22,493,221 is: 48,469,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438,316 : 22,493,221 = 22,493,221 : x
  2. Step 2: Convert to fraction form
    10,438,316/22,493,221 = 22,493,221/x
  3. Step 3: Cross multiply
    10,438,316x = 22,493,221 × 22,493,221
  4. Step 4: Simplify right side
    10,438,316x = 505,944,990,954,841
  5. Step 5: Solve for x
    x = 505,944,990,954,841/10,438,316
  6. Step 6: Final answer
    x = 48,469,982.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.