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Finding the Third Proportional to 5,669,221.50 and 8,725,727.25

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Solution

The third proportional to 5,669,221.50 and 8,725,727.25 is: 13,430,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669,221.50 : 8,725,727.25 = 8,725,727.25 : x
  2. Step 2: Convert to fraction form
    5,669,221.50/8,725,727.25 = 8,725,727.25/x
  3. Step 3: Cross multiply
    5,669,221.50x = 8,725,727.25 × 8,725,727.25
  4. Step 4: Simplify right side
    5,669,221.50x = 76,138,316,041,392.56
  5. Step 5: Solve for x
    x = 76,138,316,041,392.56/5,669,221.50
  6. Step 6: Final answer
    x = 13,430,118.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.