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Finding the Third Proportional to 454,705,298,406 and 978,375,051,711

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Solution

The third proportional to 454,705,298,406 and 978,375,051,711 is: 2,105,138,746,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,705,298,406 : 978,375,051,711 = 978,375,051,711 : x
  2. Step 2: Convert to fraction form
    454,705,298,406/978,375,051,711 = 978,375,051,711/x
  3. Step 3: Cross multiply
    454,705,298,406x = 978,375,051,711 × 978,375,051,711
  4. Step 4: Simplify right side
    454,705,298,406x = 957,217,741,810,501,895,061,504
  5. Step 5: Solve for x
    x = 957,217,741,810,501,895,061,504/454,705,298,406
  6. Step 6: Final answer
    x = 2,105,138,746,273.89

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