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Finding the Third Proportional to 24,051,901.50 and 32,677,465.50

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Solution

The third proportional to 24,051,901.50 and 32,677,465.50 is: 44,396,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,051,901.50 : 32,677,465.50 = 32,677,465.50 : x
  2. Step 2: Convert to fraction form
    24,051,901.50/32,677,465.50 = 32,677,465.50/x
  3. Step 3: Cross multiply
    24,051,901.50x = 32,677,465.50 × 32,677,465.50
  4. Step 4: Simplify right side
    24,051,901.50x = 1,067,816,751,503,690.25
  5. Step 5: Solve for x
    x = 1,067,816,751,503,690.25/24,051,901.50
  6. Step 6: Final answer
    x = 44,396,354.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.