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Finding the Third Proportional to 1,648,441,593,842.80 and 2,493,863,608,347.90

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Solution

The third proportional to 1,648,441,593,842.80 and 2,493,863,608,347.90 is: 3,772,869,915,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,441,593,842.80 : 2,493,863,608,347.90 = 2,493,863,608,347.90 : x
  2. Step 2: Convert to fraction form
    1,648,441,593,842.80/2,493,863,608,347.90 = 2,493,863,608,347.90/x
  3. Step 3: Cross multiply
    1,648,441,593,842.80x = 2,493,863,608,347.90 × 2,493,863,608,347.90
  4. Step 4: Simplify right side
    1,648,441,593,842.80x = 6,219,355,697,042,007,045,177,344
  5. Step 5: Solve for x
    x = 6,219,355,697,042,007,045,177,344/1,648,441,593,842.80
  6. Step 6: Final answer
    x = 3,772,869,915,605.33

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Why These Related Problems?

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