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Finding the Third Proportional to 8,435,273,751 and 18,140,027,191

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Solution

The third proportional to 8,435,273,751 and 18,140,027,191 is: 39,010,066,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435,273,751 : 18,140,027,191 = 18,140,027,191 : x
  2. Step 2: Convert to fraction form
    8,435,273,751/18,140,027,191 = 18,140,027,191/x
  3. Step 3: Cross multiply
    8,435,273,751x = 18,140,027,191 × 18,140,027,191
  4. Step 4: Simplify right side
    8,435,273,751x = 329,060,586,490,219,331,584
  5. Step 5: Solve for x
    x = 329,060,586,490,219,331,584/8,435,273,751
  6. Step 6: Final answer
    x = 39,010,066,087.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.