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Finding the Third Proportional to 11,365,514 and 17,386,527

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Solution

The third proportional to 11,365,514 and 17,386,527 is: 26,597,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365,514 : 17,386,527 = 17,386,527 : x
  2. Step 2: Convert to fraction form
    11,365,514/17,386,527 = 17,386,527/x
  3. Step 3: Cross multiply
    11,365,514x = 17,386,527 × 17,386,527
  4. Step 4: Simplify right side
    11,365,514x = 302,291,321,121,729
  5. Step 5: Solve for x
    x = 302,291,321,121,729/11,365,514
  6. Step 6: Final answer
    x = 26,597,241.54

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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.