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Finding the Third Proportional to 47,469,728 and 97,455,952

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Solution

The third proportional to 47,469,728 and 97,455,952 is: 200,078,302.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,469,728 : 97,455,952 = 97,455,952 : x
  2. Step 2: Convert to fraction form
    47,469,728/97,455,952 = 97,455,952/x
  3. Step 3: Cross multiply
    47,469,728x = 97,455,952 × 97,455,952
  4. Step 4: Simplify right side
    47,469,728x = 9,497,662,580,226,304
  5. Step 5: Solve for x
    x = 9,497,662,580,226,304/47,469,728
  6. Step 6: Final answer
    x = 200,078,302.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.