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Finding the Third Proportional to 7,975,164 and 17,494,337

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Solution

The third proportional to 7,975,164 and 17,494,337 is: 38,375,615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975,164 : 17,494,337 = 17,494,337 : x
  2. Step 2: Convert to fraction form
    7,975,164/17,494,337 = 17,494,337/x
  3. Step 3: Cross multiply
    7,975,164x = 17,494,337 × 17,494,337
  4. Step 4: Simplify right side
    7,975,164x = 306,051,827,069,569
  5. Step 5: Solve for x
    x = 306,051,827,069,569/7,975,164
  6. Step 6: Final answer
    x = 38,375,615.48

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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.