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Finding the Third Proportional to 699,693,546 and 1,619,833,448

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Solution

The third proportional to 699,693,546 and 1,619,833,448 is: 3,750,013,722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,693,546 : 1,619,833,448 = 1,619,833,448 : x
  2. Step 2: Convert to fraction form
    699,693,546/1,619,833,448 = 1,619,833,448/x
  3. Step 3: Cross multiply
    699,693,546x = 1,619,833,448 × 1,619,833,448
  4. Step 4: Simplify right side
    699,693,546x = 2,623,860,399,259,568,640
  5. Step 5: Solve for x
    x = 2,623,860,399,259,568,640/699,693,546
  6. Step 6: Final answer
    x = 3,750,013,722.81

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.