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Finding the Third Proportional to 13,847,655.38 and 32,054,843.81

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Solution

The third proportional to 13,847,655.38 and 32,054,843.81 is: 74,201,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847,655.38 : 32,054,843.81 = 32,054,843.81 : x
  2. Step 2: Convert to fraction form
    13,847,655.38/32,054,843.81 = 32,054,843.81/x
  3. Step 3: Cross multiply
    13,847,655.38x = 32,054,843.81 × 32,054,843.81
  4. Step 4: Simplify right side
    13,847,655.38x = 1,027,513,011,843,769.50
  5. Step 5: Solve for x
    x = 1,027,513,011,843,769.50/13,847,655.38
  6. Step 6: Final answer
    x = 74,201,226.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.