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Finding the Third Proportional to 11,407,291 and 17,398,255

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Solution

The third proportional to 11,407,291 and 17,398,255 is: 26,535,597.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407,291 : 17,398,255 = 17,398,255 : x
  2. Step 2: Convert to fraction form
    11,407,291/17,398,255 = 17,398,255/x
  3. Step 3: Cross multiply
    11,407,291x = 17,398,255 × 17,398,255
  4. Step 4: Simplify right side
    11,407,291x = 302,699,277,045,025
  5. Step 5: Solve for x
    x = 302,699,277,045,025/11,407,291
  6. Step 6: Final answer
    x = 26,535,597.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.