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Finding the Third Proportional to 20,138,824.50 and 30,972,805.50

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Solution

The third proportional to 20,138,824.50 and 30,972,805.50 is: 47,635,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138,824.50 : 30,972,805.50 = 30,972,805.50 : x
  2. Step 2: Convert to fraction form
    20,138,824.50/30,972,805.50 = 30,972,805.50/x
  3. Step 3: Cross multiply
    20,138,824.50x = 30,972,805.50 × 30,972,805.50
  4. Step 4: Simplify right side
    20,138,824.50x = 959,314,680,540,830.25
  5. Step 5: Solve for x
    x = 959,314,680,540,830.25/20,138,824.50
  6. Step 6: Final answer
    x = 47,635,088.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.