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Finding the Third Proportional to 2,465,025 and 5,383,702.50

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Solution

The third proportional to 2,465,025 and 5,383,702.50 is: 11,758,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465,025 : 5,383,702.50 = 5,383,702.50 : x
  2. Step 2: Convert to fraction form
    2,465,025/5,383,702.50 = 5,383,702.50/x
  3. Step 3: Cross multiply
    2,465,025x = 5,383,702.50 × 5,383,702.50
  4. Step 4: Simplify right side
    2,465,025x = 28,984,252,608,506.25
  5. Step 5: Solve for x
    x = 28,984,252,608,506.25/2,465,025
  6. Step 6: Final answer
    x = 11,758,198.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.