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Finding the Third Proportional to 32,008,999.50 and 75,536,465.63

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Solution

The third proportional to 32,008,999.50 and 75,536,465.63 is: 178,254,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,008,999.50 : 75,536,465.63 = 75,536,465.63 : x
  2. Step 2: Convert to fraction form
    32,008,999.50/75,536,465.63 = 75,536,465.63/x
  3. Step 3: Cross multiply
    32,008,999.50x = 75,536,465.63 × 75,536,465.63
  4. Step 4: Simplify right side
    32,008,999.50x = 5,705,757,639,116,807
  5. Step 5: Solve for x
    x = 5,705,757,639,116,807/32,008,999.50
  6. Step 6: Final answer
    x = 178,254,794.85

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Why These Related Problems?

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