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Finding the Third Proportional to 20,266,546.50 and 31,369,207.50

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Solution

The third proportional to 20,266,546.50 and 31,369,207.50 is: 48,554,260.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,266,546.50 : 31,369,207.50 = 31,369,207.50 : x
  2. Step 2: Convert to fraction form
    20,266,546.50/31,369,207.50 = 31,369,207.50/x
  3. Step 3: Cross multiply
    20,266,546.50x = 31,369,207.50 × 31,369,207.50
  4. Step 4: Simplify right side
    20,266,546.50x = 984,027,179,178,056.25
  5. Step 5: Solve for x
    x = 984,027,179,178,056.25/20,266,546.50
  6. Step 6: Final answer
    x = 48,554,260.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.