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Finding the Third Proportional to 751,636,836 and 1,149,919,686

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Solution

The third proportional to 751,636,836 and 1,149,919,686 is: 1,759,247,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,636,836 : 1,149,919,686 = 1,149,919,686 : x
  2. Step 2: Convert to fraction form
    751,636,836/1,149,919,686 = 1,149,919,686/x
  3. Step 3: Cross multiply
    751,636,836x = 1,149,919,686 × 1,149,919,686
  4. Step 4: Simplify right side
    751,636,836x = 1,322,315,284,250,338,560
  5. Step 5: Solve for x
    x = 1,322,315,284,250,338,560/751,636,836
  6. Step 6: Final answer
    x = 1,759,247,579.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.