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Finding the Third Proportional to 7,997,090 and 17,268,448

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Solution

The third proportional to 7,997,090 and 17,268,448 is: 37,288,475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997,090 : 17,268,448 = 17,268,448 : x
  2. Step 2: Convert to fraction form
    7,997,090/17,268,448 = 17,268,448/x
  3. Step 3: Cross multiply
    7,997,090x = 17,268,448 × 17,268,448
  4. Step 4: Simplify right side
    7,997,090x = 298,199,296,328,704
  5. Step 5: Solve for x
    x = 298,199,296,328,704/7,997,090
  6. Step 6: Final answer
    x = 37,288,475.72

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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.