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Finding the Third Proportional to 32,511,658.50 and 44,582,784.75

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Solution

The third proportional to 32,511,658.50 and 44,582,784.75 is: 61,135,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,511,658.50 : 44,582,784.75 = 44,582,784.75 : x
  2. Step 2: Convert to fraction form
    32,511,658.50/44,582,784.75 = 44,582,784.75/x
  3. Step 3: Cross multiply
    32,511,658.50x = 44,582,784.75 × 44,582,784.75
  4. Step 4: Simplify right side
    32,511,658.50x = 1,987,624,696,064,832.50
  5. Step 5: Solve for x
    x = 1,987,624,696,064,832.50/32,511,658.50
  6. Step 6: Final answer
    x = 61,135,752.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.