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Finding the Third Proportional to 5,974,311,532 and 8,631,105,342

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Solution

The third proportional to 5,974,311,532 and 8,631,105,342 is: 12,469,383,129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974,311,532 : 8,631,105,342 = 8,631,105,342 : x
  2. Step 2: Convert to fraction form
    5,974,311,532/8,631,105,342 = 8,631,105,342/x
  3. Step 3: Cross multiply
    5,974,311,532x = 8,631,105,342 × 8,631,105,342
  4. Step 4: Simplify right side
    5,974,311,532x = 74,495,979,424,700,940,288
  5. Step 5: Solve for x
    x = 74,495,979,424,700,940,288/5,974,311,532
  6. Step 6: Final answer
    x = 12,469,383,129.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.