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Finding the Third Proportional to 7,975,169 and 17,494,347

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Solution

The third proportional to 7,975,169 and 17,494,347 is: 38,375,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975,169 : 17,494,347 = 17,494,347 : x
  2. Step 2: Convert to fraction form
    7,975,169/17,494,347 = 17,494,347/x
  3. Step 3: Cross multiply
    7,975,169x = 17,494,347 × 17,494,347
  4. Step 4: Simplify right side
    7,975,169x = 306,052,176,956,409
  5. Step 5: Solve for x
    x = 306,052,176,956,409/7,975,169
  6. Step 6: Final answer
    x = 38,375,635.29

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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.