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Finding the Third Proportional to 4,869,843.56 and 7,570,020.19

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Solution

The third proportional to 4,869,843.56 and 7,570,020.19 is: 11,767,360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869,843.56 : 7,570,020.19 = 7,570,020.19 : x
  2. Step 2: Convert to fraction form
    4,869,843.56/7,570,020.19 = 7,570,020.19/x
  3. Step 3: Cross multiply
    4,869,843.56x = 7,570,020.19 × 7,570,020.19
  4. Step 4: Simplify right side
    4,869,843.56x = 57,305,205,639,157.53
  5. Step 5: Solve for x
    x = 57,305,205,639,157.53/4,869,843.56
  6. Step 6: Final answer
    x = 11,767,360.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.