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Finding the Third Proportional to 47,764,022 and 103,637,440

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Solution

The third proportional to 47,764,022 and 103,637,440 is: 224,870,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764,022 : 103,637,440 = 103,637,440 : x
  2. Step 2: Convert to fraction form
    47,764,022/103,637,440 = 103,637,440/x
  3. Step 3: Cross multiply
    47,764,022x = 103,637,440 × 103,637,440
  4. Step 4: Simplify right side
    47,764,022x = 10,740,718,969,753,600
  5. Step 5: Solve for x
    x = 10,740,718,969,753,600/47,764,022
  6. Step 6: Final answer
    x = 224,870,488.71

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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.