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Finding the Third Proportional to 10,472,569.50 and 22,212,843

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Solution

The third proportional to 10,472,569.50 and 22,212,843 is: 47,114,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472,569.50 : 22,212,843 = 22,212,843 : x
  2. Step 2: Convert to fraction form
    10,472,569.50/22,212,843 = 22,212,843/x
  3. Step 3: Cross multiply
    10,472,569.50x = 22,212,843 × 22,212,843
  4. Step 4: Simplify right side
    10,472,569.50x = 493,410,394,142,649
  5. Step 5: Solve for x
    x = 493,410,394,142,649/10,472,569.50
  6. Step 6: Final answer
    x = 47,114,549.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.