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Finding the Third Proportional to 30,232,637.44 and 64,425,244.64

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Solution

The third proportional to 30,232,637.44 and 64,425,244.64 is: 137,289,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,232,637.44 : 64,425,244.64 = 64,425,244.64 : x
  2. Step 2: Convert to fraction form
    30,232,637.44/64,425,244.64 = 64,425,244.64/x
  3. Step 3: Cross multiply
    30,232,637.44x = 64,425,244.64 × 64,425,244.64
  4. Step 4: Simplify right side
    30,232,637.44x = 4,150,612,147,004,380.50
  5. Step 5: Solve for x
    x = 4,150,612,147,004,380.50/30,232,637.44
  6. Step 6: Final answer
    x = 137,289,118.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.