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Finding the Third Proportional to 47,764,059 and 103,637,514

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Solution

The third proportional to 47,764,059 and 103,637,514 is: 224,870,635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,764,059 : 103,637,514 = 103,637,514 : x
  2. Step 2: Convert to fraction form
    47,764,059/103,637,514 = 103,637,514/x
  3. Step 3: Cross multiply
    47,764,059x = 103,637,514 × 103,637,514
  4. Step 4: Simplify right side
    47,764,059x = 10,740,734,308,100,196
  5. Step 5: Solve for x
    x = 10,740,734,308,100,196/47,764,059
  6. Step 6: Final answer
    x = 224,870,635.64

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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.