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Finding the Third Proportional to 1,294,196,479,035 and 2,813,654,773,086

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Solution

The third proportional to 1,294,196,479,035 and 2,813,654,773,086 is: 6,117,041,199,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,196,479,035 : 2,813,654,773,086 = 2,813,654,773,086 : x
  2. Step 2: Convert to fraction form
    1,294,196,479,035/2,813,654,773,086 = 2,813,654,773,086/x
  3. Step 3: Cross multiply
    1,294,196,479,035x = 2,813,654,773,086 × 2,813,654,773,086
  4. Step 4: Simplify right side
    1,294,196,479,035x = 7,916,653,182,109,629,666,033,664
  5. Step 5: Solve for x
    x = 7,916,653,182,109,629,666,033,664/1,294,196,479,035
  6. Step 6: Final answer
    x = 6,117,041,199,194.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.