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Finding the Third Proportional to 10,244,052,706.50 and 22,843,543,763.81

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Solution

The third proportional to 10,244,052,706.50 and 22,843,543,763.81 is: 50,939,555,529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244,052,706.50 : 22,843,543,763.81 = 22,843,543,763.81 : x
  2. Step 2: Convert to fraction form
    10,244,052,706.50/22,843,543,763.81 = 22,843,543,763.81/x
  3. Step 3: Cross multiply
    10,244,052,706.50x = 22,843,543,763.81 × 22,843,543,763.81
  4. Step 4: Simplify right side
    10,244,052,706.50x = 521,827,491,689,194,127,360
  5. Step 5: Solve for x
    x = 521,827,491,689,194,127,360/10,244,052,706.50
  6. Step 6: Final answer
    x = 50,939,555,529.43

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.