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Finding the Third Proportional to 5,846,516,256 and 13,797,184,884

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Solution

The third proportional to 5,846,516,256 and 13,797,184,884 is: 32,559,955,773.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846,516,256 : 13,797,184,884 = 13,797,184,884 : x
  2. Step 2: Convert to fraction form
    5,846,516,256/13,797,184,884 = 13,797,184,884/x
  3. Step 3: Cross multiply
    5,846,516,256x = 13,797,184,884 × 13,797,184,884
  4. Step 4: Simplify right side
    5,846,516,256x = 190,362,310,723,278,077,952
  5. Step 5: Solve for x
    x = 190,362,310,723,278,077,952/5,846,516,256
  6. Step 6: Final answer
    x = 32,559,955,773.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.