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Finding the Third Proportional to 23,143,724,226 and 50,232,866,436

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Solution

The third proportional to 23,143,724,226 and 50,232,866,436 is: 109,029,162,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143,724,226 : 50,232,866,436 = 50,232,866,436 : x
  2. Step 2: Convert to fraction form
    23,143,724,226/50,232,866,436 = 50,232,866,436/x
  3. Step 3: Cross multiply
    23,143,724,226x = 50,232,866,436 × 50,232,866,436
  4. Step 4: Simplify right side
    23,143,724,226x = 2,523,340,870,377,015,345,152
  5. Step 5: Solve for x
    x = 2,523,340,870,377,015,345,152/23,143,724,226
  6. Step 6: Final answer
    x = 109,029,162,538.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.