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Finding the Third Proportional to 664,051,242 and 992,416,914

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Solution

The third proportional to 664,051,242 and 992,416,914 is: 1,483,155,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,051,242 : 992,416,914 = 992,416,914 : x
  2. Step 2: Convert to fraction form
    664,051,242/992,416,914 = 992,416,914/x
  3. Step 3: Cross multiply
    664,051,242x = 992,416,914 × 992,416,914
  4. Step 4: Simplify right side
    664,051,242x = 984,891,331,193,283,456
  5. Step 5: Solve for x
    x = 984,891,331,193,283,456/664,051,242
  6. Step 6: Final answer
    x = 1,483,155,619.48

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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.