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Finding the Third Proportional to 47,763,936 and 103,637,268

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Solution

The third proportional to 47,763,936 and 103,637,268 is: 224,870,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,763,936 : 103,637,268 = 103,637,268 : x
  2. Step 2: Convert to fraction form
    47,763,936/103,637,268 = 103,637,268/x
  3. Step 3: Cross multiply
    47,763,936x = 103,637,268 × 103,637,268
  4. Step 4: Simplify right side
    47,763,936x = 10,740,683,318,503,824
  5. Step 5: Solve for x
    x = 10,740,683,318,503,824/47,763,936
  6. Step 6: Final answer
    x = 224,870,147.19

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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.