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Finding the Third Proportional to 2,557,764.84 and 5,596,943.06

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Solution

The third proportional to 2,557,764.84 and 5,596,943.06 is: 12,247,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557,764.84 : 5,596,943.06 = 5,596,943.06 : x
  2. Step 2: Convert to fraction form
    2,557,764.84/5,596,943.06 = 5,596,943.06/x
  3. Step 3: Cross multiply
    2,557,764.84x = 5,596,943.06 × 5,596,943.06
  4. Step 4: Simplify right side
    2,557,764.84x = 31,325,771,644,866.88
  5. Step 5: Solve for x
    x = 31,325,771,644,866.88/2,557,764.84
  6. Step 6: Final answer
    x = 12,247,322.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.