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Finding the Third Proportional to 10,231,959,172.50 and 22,265,639,572.50

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Solution

The third proportional to 10,231,959,172.50 and 22,265,639,572.50 is: 48,451,982,383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231,959,172.50 : 22,265,639,572.50 = 22,265,639,572.50 : x
  2. Step 2: Convert to fraction form
    10,231,959,172.50/22,265,639,572.50 = 22,265,639,572.50/x
  3. Step 3: Cross multiply
    10,231,959,172.50x = 22,265,639,572.50 × 22,265,639,572.50
  4. Step 4: Simplify right side
    10,231,959,172.50x = 495,758,705,572,477,992,960
  5. Step 5: Solve for x
    x = 495,758,705,572,477,992,960/10,231,959,172.50
  6. Step 6: Final answer
    x = 48,451,982,383.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.