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Finding the Third Proportional to 3,948,853,627,284 and 8,008,740,026,400

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Solution

The third proportional to 3,948,853,627,284 and 8,008,740,026,400 is: 16,242,667,585,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948,853,627,284 : 8,008,740,026,400 = 8,008,740,026,400 : x
  2. Step 2: Convert to fraction form
    3,948,853,627,284/8,008,740,026,400 = 8,008,740,026,400/x
  3. Step 3: Cross multiply
    3,948,853,627,284x = 8,008,740,026,400 × 8,008,740,026,400
  4. Step 4: Simplify right side
    3,948,853,627,284x = 64,139,916,810,461,475,197,943,808
  5. Step 5: Solve for x
    x = 64,139,916,810,461,475,197,943,808/3,948,853,627,284
  6. Step 6: Final answer
    x = 16,242,667,585,168.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.