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Finding the Third Proportional to 4,408,045.31 and 6,808,589.16

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Solution

The third proportional to 4,408,045.31 and 6,808,589.16 is: 10,516,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408,045.31 : 6,808,589.16 = 6,808,589.16 : x
  2. Step 2: Convert to fraction form
    4,408,045.31/6,808,589.16 = 6,808,589.16/x
  3. Step 3: Cross multiply
    4,408,045.31x = 6,808,589.16 × 6,808,589.16
  4. Step 4: Simplify right side
    4,408,045.31x = 46,356,886,298,605.09
  5. Step 5: Solve for x
    x = 46,356,886,298,605.09/4,408,045.31
  6. Step 6: Final answer
    x = 10,516,426.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.