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Finding the Third Proportional to 23,179,000.50 and 31,480,164

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Solution

The third proportional to 23,179,000.50 and 31,480,164 is: 42,754,247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,179,000.50 : 31,480,164 = 31,480,164 : x
  2. Step 2: Convert to fraction form
    23,179,000.50/31,480,164 = 31,480,164/x
  3. Step 3: Cross multiply
    23,179,000.50x = 31,480,164 × 31,480,164
  4. Step 4: Simplify right side
    23,179,000.50x = 991,000,725,466,896
  5. Step 5: Solve for x
    x = 991,000,725,466,896/23,179,000.50
  6. Step 6: Final answer
    x = 42,754,247.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.