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Finding the Third Proportional to 493,942,569.75 and 975,392,992.13

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Solution

The third proportional to 493,942,569.75 and 975,392,992.13 is: 1,926,117,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,942,569.75 : 975,392,992.13 = 975,392,992.13 : x
  2. Step 2: Convert to fraction form
    493,942,569.75/975,392,992.13 = 975,392,992.13/x
  3. Step 3: Cross multiply
    493,942,569.75x = 975,392,992.13 × 975,392,992.13
  4. Step 4: Simplify right side
    493,942,569.75x = 951,391,489,086,560,256
  5. Step 5: Solve for x
    x = 951,391,489,086,560,256/493,942,569.75
  6. Step 6: Final answer
    x = 1,926,117,624.50

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.