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Finding the Third Proportional to 3,331,845,248,011 and 6,757,374,397,256

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Solution

The third proportional to 3,331,845,248,011 and 6,757,374,397,256 is: 13,704,750,774,949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,331,845,248,011 : 6,757,374,397,256 = 6,757,374,397,256 : x
  2. Step 2: Convert to fraction form
    3,331,845,248,011/6,757,374,397,256 = 6,757,374,397,256/x
  3. Step 3: Cross multiply
    3,331,845,248,011x = 6,757,374,397,256 × 6,757,374,397,256
  4. Step 4: Simplify right side
    3,331,845,248,011x = 45,662,108,744,690,886,328,188,928
  5. Step 5: Solve for x
    x = 45,662,108,744,690,886,328,188,928/3,331,845,248,011
  6. Step 6: Final answer
    x = 13,704,750,774,949.60

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1.5x scale

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.