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Finding the Third Proportional to 19,173,078 and 26,968,214

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Solution

The third proportional to 19,173,078 and 26,968,214 is: 37,932,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,173,078 : 26,968,214 = 26,968,214 : x
  2. Step 2: Convert to fraction form
    19,173,078/26,968,214 = 26,968,214/x
  3. Step 3: Cross multiply
    19,173,078x = 26,968,214 × 26,968,214
  4. Step 4: Simplify right side
    19,173,078x = 727,284,566,349,796
  5. Step 5: Solve for x
    x = 727,284,566,349,796/19,173,078
  6. Step 6: Final answer
    x = 37,932,593.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.