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Finding the Third Proportional to 48,627,016 and 103,762,544

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Solution

The third proportional to 48,627,016 and 103,762,544 is: 221,413,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,627,016 : 103,762,544 = 103,762,544 : x
  2. Step 2: Convert to fraction form
    48,627,016/103,762,544 = 103,762,544/x
  3. Step 3: Cross multiply
    48,627,016x = 103,762,544 × 103,762,544
  4. Step 4: Simplify right side
    48,627,016x = 10,766,665,537,351,936
  5. Step 5: Solve for x
    x = 10,766,665,537,351,936/48,627,016
  6. Step 6: Final answer
    x = 221,413,247.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.