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Finding the Third Proportional to 11,762,514 and 17,989,803

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Solution

The third proportional to 11,762,514 and 17,989,803 is: 27,513,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762,514 : 17,989,803 = 17,989,803 : x
  2. Step 2: Convert to fraction form
    11,762,514/17,989,803 = 17,989,803/x
  3. Step 3: Cross multiply
    11,762,514x = 17,989,803 × 17,989,803
  4. Step 4: Simplify right side
    11,762,514x = 323,633,011,978,809
  5. Step 5: Solve for x
    x = 323,633,011,978,809/11,762,514
  6. Step 6: Final answer
    x = 27,513,932.14

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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.