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Finding the Third Proportional to 5,974,311,534 and 8,631,105,345

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Solution

The third proportional to 5,974,311,534 and 8,631,105,345 is: 12,469,383,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974,311,534 : 8,631,105,345 = 8,631,105,345 : x
  2. Step 2: Convert to fraction form
    5,974,311,534/8,631,105,345 = 8,631,105,345/x
  3. Step 3: Cross multiply
    5,974,311,534x = 8,631,105,345 × 8,631,105,345
  4. Step 4: Simplify right side
    5,974,311,534x = 74,495,979,476,487,569,408
  5. Step 5: Solve for x
    x = 74,495,979,476,487,569,408/5,974,311,534
  6. Step 6: Final answer
    x = 12,469,383,133.53

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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.