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Finding the Third Proportional to 2,596,546.13 and 6,011,045.44

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Solution

The third proportional to 2,596,546.13 and 6,011,045.44 is: 13,915,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596,546.13 : 6,011,045.44 = 6,011,045.44 : x
  2. Step 2: Convert to fraction form
    2,596,546.13/6,011,045.44 = 6,011,045.44/x
  3. Step 3: Cross multiply
    2,596,546.13x = 6,011,045.44 × 6,011,045.44
  4. Step 4: Simplify right side
    2,596,546.13x = 36,132,667,251,689.56
  5. Step 5: Solve for x
    x = 36,132,667,251,689.56/2,596,546.13
  6. Step 6: Final answer
    x = 13,915,665.47

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.