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Finding the Third Proportional to 6,517,600.13 and 9,860,286.94

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Solution

The third proportional to 6,517,600.13 and 9,860,286.94 is: 14,917,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517,600.13 : 9,860,286.94 = 9,860,286.94 : x
  2. Step 2: Convert to fraction form
    6,517,600.13/9,860,286.94 = 9,860,286.94/x
  3. Step 3: Cross multiply
    6,517,600.13x = 9,860,286.94 × 9,860,286.94
  4. Step 4: Simplify right side
    6,517,600.13x = 97,225,258,489,833.12
  5. Step 5: Solve for x
    x = 97,225,258,489,833.12/6,517,600.13
  6. Step 6: Final answer
    x = 14,917,340.22

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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.