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Finding the Third Proportional to 47,942,282 and 105,656,728

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Solution

The third proportional to 47,942,282 and 105,656,728 is: 232,849,662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,942,282 : 105,656,728 = 105,656,728 : x
  2. Step 2: Convert to fraction form
    47,942,282/105,656,728 = 105,656,728/x
  3. Step 3: Cross multiply
    47,942,282x = 105,656,728 × 105,656,728
  4. Step 4: Simplify right side
    47,942,282x = 11,163,344,171,665,984
  5. Step 5: Solve for x
    x = 11,163,344,171,665,984/47,942,282
  6. Step 6: Final answer
    x = 232,849,662.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.