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Finding the Third Proportional to 3,872,576 and 8,416,803.50

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Solution

The third proportional to 3,872,576 and 8,416,803.50 is: 18,293,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872,576 : 8,416,803.50 = 8,416,803.50 : x
  2. Step 2: Convert to fraction form
    3,872,576/8,416,803.50 = 8,416,803.50/x
  3. Step 3: Cross multiply
    3,872,576x = 8,416,803.50 × 8,416,803.50
  4. Step 4: Simplify right side
    3,872,576x = 70,842,581,157,612.25
  5. Step 5: Solve for x
    x = 70,842,581,157,612.25/3,872,576
  6. Step 6: Final answer
    x = 18,293,399.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.