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Finding the Third Proportional to 2,805,424 and 6,039,894.50

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Solution

The third proportional to 2,805,424 and 6,039,894.50 is: 13,003,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805,424 : 6,039,894.50 = 6,039,894.50 : x
  2. Step 2: Convert to fraction form
    2,805,424/6,039,894.50 = 6,039,894.50/x
  3. Step 3: Cross multiply
    2,805,424x = 6,039,894.50 × 6,039,894.50
  4. Step 4: Simplify right side
    2,805,424x = 36,480,325,571,130.25
  5. Step 5: Solve for x
    x = 36,480,325,571,130.25/2,805,424
  6. Step 6: Final answer
    x = 13,003,498.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.