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Finding the Third Proportional to 12,375,090 and 26,578,188

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Solution

The third proportional to 12,375,090 and 26,578,188 is: 57,082,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375,090 : 26,578,188 = 26,578,188 : x
  2. Step 2: Convert to fraction form
    12,375,090/26,578,188 = 26,578,188/x
  3. Step 3: Cross multiply
    12,375,090x = 26,578,188 × 26,578,188
  4. Step 4: Simplify right side
    12,375,090x = 706,400,077,363,344
  5. Step 5: Solve for x
    x = 706,400,077,363,344/12,375,090
  6. Step 6: Final answer
    x = 57,082,419.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.