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Finding the Third Proportional to 3,051,682,760 and 6,591,223,888

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Solution

The third proportional to 3,051,682,760 and 6,591,223,888 is: 14,236,156,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051,682,760 : 6,591,223,888 = 6,591,223,888 : x
  2. Step 2: Convert to fraction form
    3,051,682,760/6,591,223,888 = 6,591,223,888/x
  3. Step 3: Cross multiply
    3,051,682,760x = 6,591,223,888 × 6,591,223,888
  4. Step 4: Simplify right side
    3,051,682,760x = 43,444,232,341,741,838,336
  5. Step 5: Solve for x
    x = 43,444,232,341,741,838,336/3,051,682,760
  6. Step 6: Final answer
    x = 14,236,156,166.42

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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.