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Finding the Third Proportional to 2,243,486.11 and 4,892,899.92

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Solution

The third proportional to 2,243,486.11 and 4,892,899.92 is: 10,671,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,486.11 : 4,892,899.92 = 4,892,899.92 : x
  2. Step 2: Convert to fraction form
    2,243,486.11/4,892,899.92 = 4,892,899.92/x
  3. Step 3: Cross multiply
    2,243,486.11x = 4,892,899.92 × 4,892,899.92
  4. Step 4: Simplify right side
    2,243,486.11x = 23,940,469,645,484.38
  5. Step 5: Solve for x
    x = 23,940,469,645,484.38/2,243,486.11
  6. Step 6: Final answer
    x = 10,671,102.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.