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Finding the Third Proportional to 10,786,472.75 and 23,173,829.25

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Solution

The third proportional to 10,786,472.75 and 23,173,829.25 is: 49,787,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786,472.75 : 23,173,829.25 = 23,173,829.25 : x
  2. Step 2: Convert to fraction form
    10,786,472.75/23,173,829.25 = 23,173,829.25/x
  3. Step 3: Cross multiply
    10,786,472.75x = 23,173,829.25 × 23,173,829.25
  4. Step 4: Simplify right side
    10,786,472.75x = 537,026,362,108,155.56
  5. Step 5: Solve for x
    x = 537,026,362,108,155.56/10,786,472.75
  6. Step 6: Final answer
    x = 49,787,022.56

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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.