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Finding the Third Proportional to 64,993,974 and 141,176,172

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Solution

The third proportional to 64,993,974 and 141,176,172 is: 306,654,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,993,974 : 141,176,172 = 141,176,172 : x
  2. Step 2: Convert to fraction form
    64,993,974/141,176,172 = 141,176,172/x
  3. Step 3: Cross multiply
    64,993,974x = 141,176,172 × 141,176,172
  4. Step 4: Simplify right side
    64,993,974x = 19,930,711,540,573,584
  5. Step 5: Solve for x
    x = 19,930,711,540,573,584/64,993,974
  6. Step 6: Final answer
    x = 306,654,760.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.