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Finding the Third Proportional to 47,979,768 and 104,478,576

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Solution

The third proportional to 47,979,768 and 104,478,576 is: 227,507,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,979,768 : 104,478,576 = 104,478,576 : x
  2. Step 2: Convert to fraction form
    47,979,768/104,478,576 = 104,478,576/x
  3. Step 3: Cross multiply
    47,979,768x = 104,478,576 × 104,478,576
  4. Step 4: Simplify right side
    47,979,768x = 10,915,772,842,987,776
  5. Step 5: Solve for x
    x = 10,915,772,842,987,776/47,979,768
  6. Step 6: Final answer
    x = 227,507,828.78

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Why These Related Problems?

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