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Finding the Third Proportional to 7,826,291.50 and 16,955,378

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Solution

The third proportional to 7,826,291.50 and 16,955,378 is: 36,733,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826,291.50 : 16,955,378 = 16,955,378 : x
  2. Step 2: Convert to fraction form
    7,826,291.50/16,955,378 = 16,955,378/x
  3. Step 3: Cross multiply
    7,826,291.50x = 16,955,378 × 16,955,378
  4. Step 4: Simplify right side
    7,826,291.50x = 287,484,843,122,884
  5. Step 5: Solve for x
    x = 287,484,843,122,884/7,826,291.50
  6. Step 6: Final answer
    x = 36,733,214.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.