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Finding the Third Proportional to 5,150,706.96 and 10,725,295.21

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Solution

The third proportional to 5,150,706.96 and 10,725,295.21 is: 22,333,236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150,706.96 : 10,725,295.21 = 10,725,295.21 : x
  2. Step 2: Convert to fraction form
    5,150,706.96/10,725,295.21 = 10,725,295.21/x
  3. Step 3: Cross multiply
    5,150,706.96x = 10,725,295.21 × 10,725,295.21
  4. Step 4: Simplify right side
    5,150,706.96x = 115,031,957,387,939.31
  5. Step 5: Solve for x
    x = 115,031,957,387,939.31/5,150,706.96
  6. Step 6: Final answer
    x = 22,333,236.62

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.