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Finding the Third Proportional to 47,275,086 and 103,518,237

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Solution

The third proportional to 47,275,086 and 103,518,237 is: 226,673,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,275,086 : 103,518,237 = 103,518,237 : x
  2. Step 2: Convert to fraction form
    47,275,086/103,518,237 = 103,518,237/x
  3. Step 3: Cross multiply
    47,275,086x = 103,518,237 × 103,518,237
  4. Step 4: Simplify right side
    47,275,086x = 10,716,025,391,588,168
  5. Step 5: Solve for x
    x = 10,716,025,391,588,168/47,275,086
  6. Step 6: Final answer
    x = 226,673,842.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.