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Finding the Third Proportional to 47,174,946 and 100,908,027

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Solution

The third proportional to 47,174,946 and 100,908,027 is: 215,844,018.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,174,946 : 100,908,027 = 100,908,027 : x
  2. Step 2: Convert to fraction form
    47,174,946/100,908,027 = 100,908,027/x
  3. Step 3: Cross multiply
    47,174,946x = 100,908,027 × 100,908,027
  4. Step 4: Simplify right side
    47,174,946x = 10,182,429,913,032,728
  5. Step 5: Solve for x
    x = 10,182,429,913,032,728/47,174,946
  6. Step 6: Final answer
    x = 215,844,018.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.