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Finding the Third Proportional to 10,380,688,048.50 and 22,647,505,414.50

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Solution

The third proportional to 10,380,688,048.50 and 22,647,505,414.50 is: 49,409,971,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380,688,048.50 : 22,647,505,414.50 = 22,647,505,414.50 : x
  2. Step 2: Convert to fraction form
    10,380,688,048.50/22,647,505,414.50 = 22,647,505,414.50/x
  3. Step 3: Cross multiply
    10,380,688,048.50x = 22,647,505,414.50 × 22,647,505,414.50
  4. Step 4: Simplify right side
    10,380,688,048.50x = 512,909,501,499,806,842,880
  5. Step 5: Solve for x
    x = 512,909,501,499,806,842,880/10,380,688,048.50
  6. Step 6: Final answer
    x = 49,409,971,584.10

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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.