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Finding the Third Proportional to 5,059,955.25 and 7,826,392.13

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Solution

The third proportional to 5,059,955.25 and 7,826,392.13 is: 12,105,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059,955.25 : 7,826,392.13 = 7,826,392.13 : x
  2. Step 2: Convert to fraction form
    5,059,955.25/7,826,392.13 = 7,826,392.13/x
  3. Step 3: Cross multiply
    5,059,955.25x = 7,826,392.13 × 7,826,392.13
  4. Step 4: Simplify right side
    5,059,955.25x = 61,252,413,694,262.02
  5. Step 5: Solve for x
    x = 61,252,413,694,262.02/5,059,955.25
  6. Step 6: Final answer
    x = 12,105,327.16

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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.