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Finding the Third Proportional to 9,478,847.81 and 20,417,771.25

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Solution

The third proportional to 9,478,847.81 and 20,417,771.25 is: 43,980,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478,847.81 : 20,417,771.25 = 20,417,771.25 : x
  2. Step 2: Convert to fraction form
    9,478,847.81/20,417,771.25 = 20,417,771.25/x
  3. Step 3: Cross multiply
    9,478,847.81x = 20,417,771.25 × 20,417,771.25
  4. Step 4: Simplify right side
    9,478,847.81x = 416,885,382,817,326.56
  5. Step 5: Solve for x
    x = 416,885,382,817,326.56/9,478,847.81
  6. Step 6: Final answer
    x = 43,980,596.70

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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.