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Finding the Third Proportional to 16,024,936.50 and 32,616,193.50

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Solution

The third proportional to 16,024,936.50 and 32,616,193.50 is: 66,385,041.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024,936.50 : 32,616,193.50 = 32,616,193.50 : x
  2. Step 2: Convert to fraction form
    16,024,936.50/32,616,193.50 = 32,616,193.50/x
  3. Step 3: Cross multiply
    16,024,936.50x = 32,616,193.50 × 32,616,193.50
  4. Step 4: Simplify right side
    16,024,936.50x = 1,063,816,078,429,442.25
  5. Step 5: Solve for x
    x = 1,063,816,078,429,442.25/16,024,936.50
  6. Step 6: Final answer
    x = 66,385,041.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.