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Finding the Third Proportional to 7,726,244,338.50 and 16,736,045,025

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Solution

The third proportional to 7,726,244,338.50 and 16,736,045,025 is: 36,252,439,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726,244,338.50 : 16,736,045,025 = 16,736,045,025 : x
  2. Step 2: Convert to fraction form
    7,726,244,338.50/16,736,045,025 = 16,736,045,025/x
  3. Step 3: Cross multiply
    7,726,244,338.50x = 16,736,045,025 × 16,736,045,025
  4. Step 4: Simplify right side
    7,726,244,338.50x = 280,095,203,078,827,245,568
  5. Step 5: Solve for x
    x = 280,095,203,078,827,245,568/7,726,244,338.50
  6. Step 6: Final answer
    x = 36,252,439,193.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.