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Finding the Third Proportional to 8,204,751,584 and 16,699,464,254

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Solution

The third proportional to 8,204,751,584 and 16,699,464,254 is: 33,989,098,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204,751,584 : 16,699,464,254 = 16,699,464,254 : x
  2. Step 2: Convert to fraction form
    8,204,751,584/16,699,464,254 = 16,699,464,254/x
  3. Step 3: Cross multiply
    8,204,751,584x = 16,699,464,254 × 16,699,464,254
  4. Step 4: Simplify right side
    8,204,751,584x = 278,872,106,370,623,766,528
  5. Step 5: Solve for x
    x = 278,872,106,370,623,766,528/8,204,751,584
  6. Step 6: Final answer
    x = 33,989,098,087.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.