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Finding the Third Proportional to 3,918,659,884 and 8,460,702,248

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Solution

The third proportional to 3,918,659,884 and 8,460,702,248 is: 18,267,337,469.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918,659,884 : 8,460,702,248 = 8,460,702,248 : x
  2. Step 2: Convert to fraction form
    3,918,659,884/8,460,702,248 = 8,460,702,248/x
  3. Step 3: Cross multiply
    3,918,659,884x = 8,460,702,248 × 8,460,702,248
  4. Step 4: Simplify right side
    3,918,659,884x = 71,583,482,529,312,251,904
  5. Step 5: Solve for x
    x = 71,583,482,529,312,251,904/3,918,659,884
  6. Step 6: Final answer
    x = 18,267,337,469.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.