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Finding the Third Proportional to 5,682,559,330,508 and 11,666,367,685,464

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Solution

The third proportional to 5,682,559,330,508 and 11,666,367,685,464 is: 23,951,203,508,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682,559,330,508 : 11,666,367,685,464 = 11,666,367,685,464 : x
  2. Step 2: Convert to fraction form
    5,682,559,330,508/11,666,367,685,464 = 11,666,367,685,464/x
  3. Step 3: Cross multiply
    5,682,559,330,508x = 11,666,367,685,464 × 11,666,367,685,464
  4. Step 4: Simplify right side
    5,682,559,330,508x = 136,104,134,972,438,656,938,147,840
  5. Step 5: Solve for x
    x = 136,104,134,972,438,656,938,147,840/5,682,559,330,508
  6. Step 6: Final answer
    x = 23,951,203,508,203.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.