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Finding the Third Proportional to 13,096,861 and 27,551,211

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Solution

The third proportional to 13,096,861 and 27,551,211 is: 57,958,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096,861 : 27,551,211 = 27,551,211 : x
  2. Step 2: Convert to fraction form
    13,096,861/27,551,211 = 27,551,211/x
  3. Step 3: Cross multiply
    13,096,861x = 27,551,211 × 27,551,211
  4. Step 4: Simplify right side
    13,096,861x = 759,069,227,566,521
  5. Step 5: Solve for x
    x = 759,069,227,566,521/13,096,861
  6. Step 6: Final answer
    x = 57,958,103.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.