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Finding the Third Proportional to 32,009,016 and 75,536,496

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Solution

The third proportional to 32,009,016 and 75,536,496 is: 178,254,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009,016 : 75,536,496 = 75,536,496 : x
  2. Step 2: Convert to fraction form
    32,009,016/75,536,496 = 75,536,496/x
  3. Step 3: Cross multiply
    32,009,016x = 75,536,496 × 75,536,496
  4. Step 4: Simplify right side
    32,009,016x = 5,705,762,227,958,016
  5. Step 5: Solve for x
    x = 5,705,762,227,958,016/32,009,016
  6. Step 6: Final answer
    x = 178,254,846.32

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.