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Finding the Third Proportional to 47,426,578 and 102,043,364

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Solution

The third proportional to 47,426,578 and 102,043,364 is: 219,557,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,426,578 : 102,043,364 = 102,043,364 : x
  2. Step 2: Convert to fraction form
    47,426,578/102,043,364 = 102,043,364/x
  3. Step 3: Cross multiply
    47,426,578x = 102,043,364 × 102,043,364
  4. Step 4: Simplify right side
    47,426,578x = 10,412,848,136,436,496
  5. Step 5: Solve for x
    x = 10,412,848,136,436,496/47,426,578
  6. Step 6: Final answer
    x = 219,557,230.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.