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Finding the Third Proportional to 5,039,506.13 and 7,782,046.31

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Solution

The third proportional to 5,039,506.13 and 7,782,046.31 is: 12,017,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,039,506.13 : 7,782,046.31 = 7,782,046.31 : x
  2. Step 2: Convert to fraction form
    5,039,506.13/7,782,046.31 = 7,782,046.31/x
  3. Step 3: Cross multiply
    5,039,506.13x = 7,782,046.31 × 7,782,046.31
  4. Step 4: Simplify right side
    5,039,506.13x = 60,560,244,809,894.84
  5. Step 5: Solve for x
    x = 60,560,244,809,894.84/5,039,506.13
  6. Step 6: Final answer
    x = 12,017,099.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.