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Finding the Third Proportional to 17,970,669 and 38,768,310

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Solution

The third proportional to 17,970,669 and 38,768,310 is: 83,635,275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970,669 : 38,768,310 = 38,768,310 : x
  2. Step 2: Convert to fraction form
    17,970,669/38,768,310 = 38,768,310/x
  3. Step 3: Cross multiply
    17,970,669x = 38,768,310 × 38,768,310
  4. Step 4: Simplify right side
    17,970,669x = 1,502,981,860,256,100
  5. Step 5: Solve for x
    x = 1,502,981,860,256,100/17,970,669
  6. Step 6: Final answer
    x = 83,635,275.92

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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.