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Finding the Third Proportional to 4,097,453 and 8,851,414

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Solution

The third proportional to 4,097,453 and 8,851,414 is: 19,121,031.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,453 : 8,851,414 = 8,851,414 : x
  2. Step 2: Convert to fraction form
    4,097,453/8,851,414 = 8,851,414/x
  3. Step 3: Cross multiply
    4,097,453x = 8,851,414 × 8,851,414
  4. Step 4: Simplify right side
    4,097,453x = 78,347,529,799,396
  5. Step 5: Solve for x
    x = 78,347,529,799,396/4,097,453
  6. Step 6: Final answer
    x = 19,121,031.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.