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Finding the Third Proportional to 14,107,086 and 21,105,900

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Solution

The third proportional to 14,107,086 and 21,105,900 is: 31,576,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107,086 : 21,105,900 = 21,105,900 : x
  2. Step 2: Convert to fraction form
    14,107,086/21,105,900 = 21,105,900/x
  3. Step 3: Cross multiply
    14,107,086x = 21,105,900 × 21,105,900
  4. Step 4: Simplify right side
    14,107,086x = 445,459,014,810,000
  5. Step 5: Solve for x
    x = 445,459,014,810,000/14,107,086
  6. Step 6: Final answer
    x = 31,576,968.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.