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Finding the Third Proportional to 13,129,860 and 21,096,000

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Solution

The third proportional to 13,129,860 and 21,096,000 is: 33,895,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129,860 : 21,096,000 = 21,096,000 : x
  2. Step 2: Convert to fraction form
    13,129,860/21,096,000 = 21,096,000/x
  3. Step 3: Cross multiply
    13,129,860x = 21,096,000 × 21,096,000
  4. Step 4: Simplify right side
    13,129,860x = 445,041,216,000,000
  5. Step 5: Solve for x
    x = 445,041,216,000,000/13,129,860
  6. Step 6: Final answer
    x = 33,895,351.21

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.