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Finding the Third Proportional to 371,489,814 and 801,149,326

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Solution

The third proportional to 371,489,814 and 801,149,326 is: 1,727,746,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,489,814 : 801,149,326 = 801,149,326 : x
  2. Step 2: Convert to fraction form
    371,489,814/801,149,326 = 801,149,326/x
  3. Step 3: Cross multiply
    371,489,814x = 801,149,326 × 801,149,326
  4. Step 4: Simplify right side
    371,489,814x = 641,840,242,550,254,336
  5. Step 5: Solve for x
    x = 641,840,242,550,254,336/371,489,814
  6. Step 6: Final answer
    x = 1,727,746,544.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.