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Finding the Third Proportional to 4,408,041.52 and 6,808,583.46

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Solution

The third proportional to 4,408,041.52 and 6,808,583.46 is: 10,516,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408,041.52 : 6,808,583.46 = 6,808,583.46 : x
  2. Step 2: Convert to fraction form
    4,408,041.52/6,808,583.46 = 6,808,583.46/x
  3. Step 3: Cross multiply
    4,408,041.52x = 6,808,583.46 × 6,808,583.46
  4. Step 4: Simplify right side
    4,408,041.52x = 46,356,808,744,551.66
  5. Step 5: Solve for x
    x = 46,356,808,744,551.66/4,408,041.52
  6. Step 6: Final answer
    x = 10,516,418.36

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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.