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Finding the Third Proportional to 32,275,507.64 and 48,507,853.22

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Solution

The third proportional to 32,275,507.64 and 48,507,853.22 is: 72,903,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,275,507.64 : 48,507,853.22 = 48,507,853.22 : x
  2. Step 2: Convert to fraction form
    32,275,507.64/48,507,853.22 = 48,507,853.22/x
  3. Step 3: Cross multiply
    32,275,507.64x = 48,507,853.22 × 48,507,853.22
  4. Step 4: Simplify right side
    32,275,507.64x = 2,353,011,823,891,794.50
  5. Step 5: Solve for x
    x = 2,353,011,823,891,794.50/32,275,507.64
  6. Step 6: Final answer
    x = 72,903,944.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.