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Finding the Third Proportional to 8,176,368 and 17,200,224

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Solution

The third proportional to 8,176,368 and 17,200,224 is: 36,183,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176,368 : 17,200,224 = 17,200,224 : x
  2. Step 2: Convert to fraction form
    8,176,368/17,200,224 = 17,200,224/x
  3. Step 3: Cross multiply
    8,176,368x = 17,200,224 × 17,200,224
  4. Step 4: Simplify right side
    8,176,368x = 295,847,705,650,176
  5. Step 5: Solve for x
    x = 295,847,705,650,176/8,176,368
  6. Step 6: Final answer
    x = 36,183,266.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.