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Finding the Third Proportional to 10,789,424 and 23,117,811

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Solution

The third proportional to 10,789,424 and 23,117,811 is: 49,533,059.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789,424 : 23,117,811 = 23,117,811 : x
  2. Step 2: Convert to fraction form
    10,789,424/23,117,811 = 23,117,811/x
  3. Step 3: Cross multiply
    10,789,424x = 23,117,811 × 23,117,811
  4. Step 4: Simplify right side
    10,789,424x = 534,433,185,431,721
  5. Step 5: Solve for x
    x = 534,433,185,431,721/10,789,424
  6. Step 6: Final answer
    x = 49,533,059.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.