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Finding the Third Proportional to 6,100,499.81 and 13,286,025

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Solution

The third proportional to 6,100,499.81 and 13,286,025 is: 28,935,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100,499.81 : 13,286,025 = 13,286,025 : x
  2. Step 2: Convert to fraction form
    6,100,499.81/13,286,025 = 13,286,025/x
  3. Step 3: Cross multiply
    6,100,499.81x = 13,286,025 × 13,286,025
  4. Step 4: Simplify right side
    6,100,499.81x = 176,518,460,300,625
  5. Step 5: Solve for x
    x = 176,518,460,300,625/6,100,499.81
  6. Step 6: Final answer
    x = 28,935,081.67

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Why These Related Problems?

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