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Finding the Third Proportional to 2,472,662,390,770.80 and 3,740,795,412,530.70

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Solution

The third proportional to 2,472,662,390,770.80 and 3,740,795,412,530.70 is: 5,659,304,873,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,662,390,770.80 : 3,740,795,412,530.70 = 3,740,795,412,530.70 : x
  2. Step 2: Convert to fraction form
    2,472,662,390,770.80/3,740,795,412,530.70 = 3,740,795,412,530.70/x
  3. Step 3: Cross multiply
    2,472,662,390,770.80x = 3,740,795,412,530.70 × 3,740,795,412,530.70
  4. Step 4: Simplify right side
    2,472,662,390,770.80x = 13,993,550,318,410,731,899,322,368
  5. Step 5: Solve for x
    x = 13,993,550,318,410,731,899,322,368/2,472,662,390,770.80
  6. Step 6: Final answer
    x = 5,659,304,873,419.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.