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Finding the Third Proportional to 6,828,664.50 and 10,288,093.50

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Solution

The third proportional to 6,828,664.50 and 10,288,093.50 is: 15,500,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828,664.50 : 10,288,093.50 = 10,288,093.50 : x
  2. Step 2: Convert to fraction form
    6,828,664.50/10,288,093.50 = 10,288,093.50/x
  3. Step 3: Cross multiply
    6,828,664.50x = 10,288,093.50 × 10,288,093.50
  4. Step 4: Simplify right side
    6,828,664.50x = 105,844,867,864,742.25
  5. Step 5: Solve for x
    x = 105,844,867,864,742.25/6,828,664.50
  6. Step 6: Final answer
    x = 15,500,083.20

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