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Finding the Third Proportional to 7,452,400 and 15,967,196

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Solution

The third proportional to 7,452,400 and 15,967,196 is: 34,210,636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452,400 : 15,967,196 = 15,967,196 : x
  2. Step 2: Convert to fraction form
    7,452,400/15,967,196 = 15,967,196/x
  3. Step 3: Cross multiply
    7,452,400x = 15,967,196 × 15,967,196
  4. Step 4: Simplify right side
    7,452,400x = 254,951,348,102,416
  5. Step 5: Solve for x
    x = 254,951,348,102,416/7,452,400
  6. Step 6: Final answer
    x = 34,210,636.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.