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Finding the Third Proportional to 664,051,256 and 992,416,936

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Solution

The third proportional to 664,051,256 and 992,416,936 is: 1,483,155,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,051,256 : 992,416,936 = 992,416,936 : x
  2. Step 2: Convert to fraction form
    664,051,256/992,416,936 = 992,416,936/x
  3. Step 3: Cross multiply
    664,051,256x = 992,416,936 × 992,416,936
  4. Step 4: Simplify right side
    664,051,256x = 984,891,374,859,628,032
  5. Step 5: Solve for x
    x = 984,891,374,859,628,032/664,051,256
  6. Step 6: Final answer
    x = 1,483,155,653.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.