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Finding the Third Proportional to 31,658,512.50 and 47,301,405

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Solution

The third proportional to 31,658,512.50 and 47,301,405 is: 70,673,658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,658,512.50 : 47,301,405 = 47,301,405 : x
  2. Step 2: Convert to fraction form
    31,658,512.50/47,301,405 = 47,301,405/x
  3. Step 3: Cross multiply
    31,658,512.50x = 47,301,405 × 47,301,405
  4. Step 4: Simplify right side
    31,658,512.50x = 2,237,422,914,974,025
  5. Step 5: Solve for x
    x = 2,237,422,914,974,025/31,658,512.50
  6. Step 6: Final answer
    x = 70,673,658.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.