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Finding the Third Proportional to 13,774,247,257.50 and 20,657,783,659.50

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Solution

The third proportional to 13,774,247,257.50 and 20,657,783,659.50 is: 30,981,295,583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774,247,257.50 : 20,657,783,659.50 = 20,657,783,659.50 : x
  2. Step 2: Convert to fraction form
    13,774,247,257.50/20,657,783,659.50 = 20,657,783,659.50/x
  3. Step 3: Cross multiply
    13,774,247,257.50x = 20,657,783,659.50 × 20,657,783,659.50
  4. Step 4: Simplify right side
    13,774,247,257.50x = 426,744,025,722,705,215,488
  5. Step 5: Solve for x
    x = 426,744,025,722,705,215,488/13,774,247,257.50
  6. Step 6: Final answer
    x = 30,981,295,583.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.