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Finding the Third Proportional to 47,764,002 and 103,637,399

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Solution

The third proportional to 47,764,002 and 103,637,399 is: 224,870,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764,002 : 103,637,399 = 103,637,399 : x
  2. Step 2: Convert to fraction form
    47,764,002/103,637,399 = 103,637,399/x
  3. Step 3: Cross multiply
    47,764,002x = 103,637,399 × 103,637,399
  4. Step 4: Simplify right side
    47,764,002x = 10,740,710,471,485,200
  5. Step 5: Solve for x
    x = 10,740,710,471,485,200/47,764,002
  6. Step 6: Final answer
    x = 224,870,404.94

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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.