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Finding the Third Proportional to 664,051,223.25 and 992,416,890.38

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Solution

The third proportional to 664,051,223.25 and 992,416,890.38 is: 1,483,155,590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,051,223.25 : 992,416,890.38 = 992,416,890.38 : x
  2. Step 2: Convert to fraction form
    664,051,223.25/992,416,890.38 = 992,416,890.38/x
  3. Step 3: Cross multiply
    664,051,223.25x = 992,416,890.38 × 992,416,890.38
  4. Step 4: Simplify right side
    664,051,223.25x = 984,891,284,301,584,768
  5. Step 5: Solve for x
    x = 984,891,284,301,584,768/664,051,223.25
  6. Step 6: Final answer
    x = 1,483,155,590.74

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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.