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Finding the Third Proportional to 30,535,638 and 65,853,834

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Solution

The third proportional to 30,535,638 and 65,853,834 is: 142,021,838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535,638 : 65,853,834 = 65,853,834 : x
  2. Step 2: Convert to fraction form
    30,535,638/65,853,834 = 65,853,834/x
  3. Step 3: Cross multiply
    30,535,638x = 65,853,834 × 65,853,834
  4. Step 4: Simplify right side
    30,535,638x = 4,336,727,452,499,556
  5. Step 5: Solve for x
    x = 4,336,727,452,499,556/30,535,638
  6. Step 6: Final answer
    x = 142,021,838.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.