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Finding the Third Proportional to 4,097,447.02 and 8,851,404.09

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Solution

The third proportional to 4,097,447.02 and 8,851,404.09 is: 19,121,017.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,447.02 : 8,851,404.09 = 8,851,404.09 : x
  2. Step 2: Convert to fraction form
    4,097,447.02/8,851,404.09 = 8,851,404.09/x
  3. Step 3: Cross multiply
    4,097,447.02x = 8,851,404.09 × 8,851,404.09
  4. Step 4: Simplify right side
    4,097,447.02x = 78,347,354,430,854.27
  5. Step 5: Solve for x
    x = 78,347,354,430,854.27/4,097,447.02
  6. Step 6: Final answer
    x = 19,121,017.09

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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.