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Finding the Third Proportional to 4,097,454 and 8,851,416

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Solution

The third proportional to 4,097,454 and 8,851,416 is: 19,121,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,454 : 8,851,416 = 8,851,416 : x
  2. Step 2: Convert to fraction form
    4,097,454/8,851,416 = 8,851,416/x
  3. Step 3: Cross multiply
    4,097,454x = 8,851,416 × 8,851,416
  4. Step 4: Simplify right side
    4,097,454x = 78,347,565,205,056
  5. Step 5: Solve for x
    x = 78,347,565,205,056/4,097,454
  6. Step 6: Final answer
    x = 19,121,035.94

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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.