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Finding the Third Proportional to 47,850,964 and 104,965,972

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Solution

The third proportional to 47,850,964 and 104,965,972 is: 230,253,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,850,964 : 104,965,972 = 104,965,972 : x
  2. Step 2: Convert to fraction form
    47,850,964/104,965,972 = 104,965,972/x
  3. Step 3: Cross multiply
    47,850,964x = 104,965,972 × 104,965,972
  4. Step 4: Simplify right side
    47,850,964x = 11,017,855,277,904,784
  5. Step 5: Solve for x
    x = 11,017,855,277,904,784/47,850,964
  6. Step 6: Final answer
    x = 230,253,569.77

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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.