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Finding the Third Proportional to 2,068,394,692 and 3,292,815,844

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Solution

The third proportional to 2,068,394,692 and 3,292,815,844 is: 5,242,053,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,394,692 : 3,292,815,844 = 3,292,815,844 : x
  2. Step 2: Convert to fraction form
    2,068,394,692/3,292,815,844 = 3,292,815,844/x
  3. Step 3: Cross multiply
    2,068,394,692x = 3,292,815,844 × 3,292,815,844
  4. Step 4: Simplify right side
    2,068,394,692x = 10,842,636,182,497,431,552
  5. Step 5: Solve for x
    x = 10,842,636,182,497,431,552/2,068,394,692
  6. Step 6: Final answer
    x = 5,242,053,764.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.