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Finding the Third Proportional to 7,455,224 and 16,306,216

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Solution

The third proportional to 7,455,224 and 16,306,216 is: 35,665,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,455,224 : 16,306,216 = 16,306,216 : x
  2. Step 2: Convert to fraction form
    7,455,224/16,306,216 = 16,306,216/x
  3. Step 3: Cross multiply
    7,455,224x = 16,306,216 × 16,306,216
  4. Step 4: Simplify right side
    7,455,224x = 265,892,680,238,656
  5. Step 5: Solve for x
    x = 265,892,680,238,656/7,455,224
  6. Step 6: Final answer
    x = 35,665,283.87

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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.