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Finding the Third Proportional to 65,483,046 and 109,131,834

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Solution

The third proportional to 65,483,046 and 109,131,834 is: 181,875,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,483,046 : 109,131,834 = 109,131,834 : x
  2. Step 2: Convert to fraction form
    65,483,046/109,131,834 = 109,131,834/x
  3. Step 3: Cross multiply
    65,483,046x = 109,131,834 × 109,131,834
  4. Step 4: Simplify right side
    65,483,046x = 11,909,757,192,203,556
  5. Step 5: Solve for x
    x = 11,909,757,192,203,556/65,483,046
  6. Step 6: Final answer
    x = 181,875,430.66

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.