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Finding the Third Proportional to 2,578,321.13 and 5,368,447.13

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Solution

The third proportional to 2,578,321.13 and 5,368,447.13 is: 11,177,903.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,321.13 : 5,368,447.13 = 5,368,447.13 : x
  2. Step 2: Convert to fraction form
    2,578,321.13/5,368,447.13 = 5,368,447.13/x
  3. Step 3: Cross multiply
    2,578,321.13x = 5,368,447.13 × 5,368,447.13
  4. Step 4: Simplify right side
    2,578,321.13x = 28,820,224,533,920.77
  5. Step 5: Solve for x
    x = 28,820,224,533,920.77/2,578,321.13
  6. Step 6: Final answer
    x = 11,177,903.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.