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Finding the Third Proportional to 815,263,377,538 and 1,215,825,196,010

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Solution

The third proportional to 815,263,377,538 and 1,215,825,196,010 is: 1,813,194,297,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,263,377,538 : 1,215,825,196,010 = 1,215,825,196,010 : x
  2. Step 2: Convert to fraction form
    815,263,377,538/1,215,825,196,010 = 1,215,825,196,010/x
  3. Step 3: Cross multiply
    815,263,377,538x = 1,215,825,196,010 × 1,215,825,196,010
  4. Step 4: Simplify right side
    815,263,377,538x = 1,478,230,907,252,754,817,744,896
  5. Step 5: Solve for x
    x = 1,478,230,907,252,754,817,744,896/815,263,377,538
  6. Step 6: Final answer
    x = 1,813,194,297,672.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.