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Finding the Third Proportional to 3,658,311.50 and 7,878,508.25

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Solution

The third proportional to 3,658,311.50 and 7,878,508.25 is: 16,967,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658,311.50 : 7,878,508.25 = 7,878,508.25 : x
  2. Step 2: Convert to fraction form
    3,658,311.50/7,878,508.25 = 7,878,508.25/x
  3. Step 3: Cross multiply
    3,658,311.50x = 7,878,508.25 × 7,878,508.25
  4. Step 4: Simplify right side
    3,658,311.50x = 62,070,892,245,318.06
  5. Step 5: Solve for x
    x = 62,070,892,245,318.06/3,658,311.50
  6. Step 6: Final answer
    x = 16,967,087.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.