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Finding the Third Proportional to 1,693,179,104 and 3,645,834,256

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Solution

The third proportional to 1,693,179,104 and 3,645,834,256 is: 7,850,384,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,179,104 : 3,645,834,256 = 3,645,834,256 : x
  2. Step 2: Convert to fraction form
    1,693,179,104/3,645,834,256 = 3,645,834,256/x
  3. Step 3: Cross multiply
    1,693,179,104x = 3,645,834,256 × 3,645,834,256
  4. Step 4: Simplify right side
    1,693,179,104x = 13,292,107,422,223,073,280
  5. Step 5: Solve for x
    x = 13,292,107,422,223,073,280/1,693,179,104
  6. Step 6: Final answer
    x = 7,850,384,753.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.