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Finding the Third Proportional to 19,657,895.44 and 30,770,224.88

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Solution

The third proportional to 19,657,895.44 and 30,770,224.88 is: 48,164,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657,895.44 : 30,770,224.88 = 30,770,224.88 : x
  2. Step 2: Convert to fraction form
    19,657,895.44/30,770,224.88 = 30,770,224.88/x
  3. Step 3: Cross multiply
    19,657,895.44x = 30,770,224.88 × 30,770,224.88
  4. Step 4: Simplify right side
    19,657,895.44x = 946,806,738,858,068.75
  5. Step 5: Solve for x
    x = 946,806,738,858,068.75/19,657,895.44
  6. Step 6: Final answer
    x = 48,164,196.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.