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Finding the Third Proportional to 47,964,596 and 105,492,982

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Solution

The third proportional to 47,964,596 and 105,492,982 is: 232,020,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,964,596 : 105,492,982 = 105,492,982 : x
  2. Step 2: Convert to fraction form
    47,964,596/105,492,982 = 105,492,982/x
  3. Step 3: Cross multiply
    47,964,596x = 105,492,982 × 105,492,982
  4. Step 4: Simplify right side
    47,964,596x = 11,128,769,251,252,324
  5. Step 5: Solve for x
    x = 11,128,769,251,252,324/47,964,596
  6. Step 6: Final answer
    x = 232,020,493.85

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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.