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Finding the Third Proportional to 1,648,441,593,834.60 and 2,493,863,608,335.60

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Solution

The third proportional to 1,648,441,593,834.60 and 2,493,863,608,335.60 is: 3,772,869,915,586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,441,593,834.60 : 2,493,863,608,335.60 = 2,493,863,608,335.60 : x
  2. Step 2: Convert to fraction form
    1,648,441,593,834.60/2,493,863,608,335.60 = 2,493,863,608,335.60/x
  3. Step 3: Cross multiply
    1,648,441,593,834.60x = 2,493,863,608,335.60 × 2,493,863,608,335.60
  4. Step 4: Simplify right side
    1,648,441,593,834.60x = 6,219,355,696,980,659,879,804,928
  5. Step 5: Solve for x
    x = 6,219,355,696,980,659,879,804,928/1,648,441,593,834.60
  6. Step 6: Final answer
    x = 3,772,869,915,586.89

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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.