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Finding the Third Proportional to 2,578,365 and 5,464,077.75

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Solution

The third proportional to 2,578,365 and 5,464,077.75 is: 11,579,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,365 : 5,464,077.75 = 5,464,077.75 : x
  2. Step 2: Convert to fraction form
    2,578,365/5,464,077.75 = 5,464,077.75/x
  3. Step 3: Cross multiply
    2,578,365x = 5,464,077.75 × 5,464,077.75
  4. Step 4: Simplify right side
    2,578,365x = 29,856,145,658,045.06
  5. Step 5: Solve for x
    x = 29,856,145,658,045.06/2,578,365
  6. Step 6: Final answer
    x = 11,579,487.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.