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Finding the Third Proportional to 227,386,341 and 500,111,928

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Solution

The third proportional to 227,386,341 and 500,111,928 is: 1,099,942,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,386,341 : 500,111,928 = 500,111,928 : x
  2. Step 2: Convert to fraction form
    227,386,341/500,111,928 = 500,111,928/x
  3. Step 3: Cross multiply
    227,386,341x = 500,111,928 × 500,111,928
  4. Step 4: Simplify right side
    227,386,341x = 250,111,940,527,877,184
  5. Step 5: Solve for x
    x = 250,111,940,527,877,184/227,386,341
  6. Step 6: Final answer
    x = 1,099,942,676.54

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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.