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Finding the Third Proportional to 2,235,164.06 and 4,827,619.13

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Solution

The third proportional to 2,235,164.06 and 4,827,619.13 is: 10,426,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235,164.06 : 4,827,619.13 = 4,827,619.13 : x
  2. Step 2: Convert to fraction form
    2,235,164.06/4,827,619.13 = 4,827,619.13/x
  3. Step 3: Cross multiply
    2,235,164.06x = 4,827,619.13 × 4,827,619.13
  4. Step 4: Simplify right side
    2,235,164.06x = 23,305,906,416,065.77
  5. Step 5: Solve for x
    x = 23,305,906,416,065.77/2,235,164.06
  6. Step 6: Final answer
    x = 10,426,933.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.