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Finding the Third Proportional to 6,441,531 and 14,040,534

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Solution

The third proportional to 6,441,531 and 14,040,534 is: 30,603,996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441,531 : 14,040,534 = 14,040,534 : x
  2. Step 2: Convert to fraction form
    6,441,531/14,040,534 = 14,040,534/x
  3. Step 3: Cross multiply
    6,441,531x = 14,040,534 × 14,040,534
  4. Step 4: Simplify right side
    6,441,531x = 197,136,595,005,156
  5. Step 5: Solve for x
    x = 197,136,595,005,156/6,441,531
  6. Step 6: Final answer
    x = 30,603,996.94

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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.