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Finding the Third Proportional to 32,049,818 and 65,232,296

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Solution

The third proportional to 32,049,818 and 65,232,296 is: 132,769,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049,818 : 65,232,296 = 65,232,296 : x
  2. Step 2: Convert to fraction form
    32,049,818/65,232,296 = 65,232,296/x
  3. Step 3: Cross multiply
    32,049,818x = 65,232,296 × 65,232,296
  4. Step 4: Simplify right side
    32,049,818x = 4,255,252,441,431,616
  5. Step 5: Solve for x
    x = 4,255,252,441,431,616/32,049,818
  6. Step 6: Final answer
    x = 132,769,940.89

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