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Finding the Third Proportional to 47,360,419,472 and 105,309,880,864

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Solution

The third proportional to 47,360,419,472 and 105,309,880,864 is: 234,165,388,128.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,360,419,472 : 105,309,880,864 = 105,309,880,864 : x
  2. Step 2: Convert to fraction form
    47,360,419,472/105,309,880,864 = 105,309,880,864/x
  3. Step 3: Cross multiply
    47,360,419,472x = 105,309,880,864 × 105,309,880,864
  4. Step 4: Simplify right side
    47,360,419,472x = 11,090,171,007,589,874,139,136
  5. Step 5: Solve for x
    x = 11,090,171,007,589,874,139,136/47,360,419,472
  6. Step 6: Final answer
    x = 234,165,388,128.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.