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Finding the Third Proportional to 3,353,296,744,314 and 7,294,125,750,948

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Solution

The third proportional to 3,353,296,744,314 and 7,294,125,750,948 is: 15,866,257,753,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353,296,744,314 : 7,294,125,750,948 = 7,294,125,750,948 : x
  2. Step 2: Convert to fraction form
    3,353,296,744,314/7,294,125,750,948 = 7,294,125,750,948/x
  3. Step 3: Cross multiply
    3,353,296,744,314x = 7,294,125,750,948 × 7,294,125,750,948
  4. Step 4: Simplify right side
    3,353,296,744,314x = 53,204,270,470,642,721,246,674,944
  5. Step 5: Solve for x
    x = 53,204,270,470,642,721,246,674,944/3,353,296,744,314
  6. Step 6: Final answer
    x = 15,866,257,753,912.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.