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Finding the Third Proportional to 6,517,599 and 9,860,285.25

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Solution

The third proportional to 6,517,599 and 9,860,285.25 is: 14,917,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517,599 : 9,860,285.25 = 9,860,285.25 : x
  2. Step 2: Convert to fraction form
    6,517,599/9,860,285.25 = 9,860,285.25/x
  3. Step 3: Cross multiply
    6,517,599x = 9,860,285.25 × 9,860,285.25
  4. Step 4: Simplify right side
    6,517,599x = 97,225,225,211,367.56
  5. Step 5: Solve for x
    x = 97,225,225,211,367.56/6,517,599
  6. Step 6: Final answer
    x = 14,917,337.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.