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Finding the Third Proportional to 29,097,684 and 48,494,080.13

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Solution

The third proportional to 29,097,684 and 48,494,080.13 is: 80,820,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097,684 : 48,494,080.13 = 48,494,080.13 : x
  2. Step 2: Convert to fraction form
    29,097,684/48,494,080.13 = 48,494,080.13/x
  3. Step 3: Cross multiply
    29,097,684x = 48,494,080.13 × 48,494,080.13
  4. Step 4: Simplify right side
    29,097,684x = 2,351,675,807,169,920
  5. Step 5: Solve for x
    x = 2,351,675,807,169,920/29,097,684
  6. Step 6: Final answer
    x = 80,820,033.90

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.