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Finding the Third Proportional to 38,173,623 and 82,398,946

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Solution

The third proportional to 38,173,623 and 82,398,946 is: 177,860,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,173,623 : 82,398,946 = 82,398,946 : x
  2. Step 2: Convert to fraction form
    38,173,623/82,398,946 = 82,398,946/x
  3. Step 3: Cross multiply
    38,173,623x = 82,398,946 × 82,398,946
  4. Step 4: Simplify right side
    38,173,623x = 6,789,586,301,910,916
  5. Step 5: Solve for x
    x = 6,789,586,301,910,916/38,173,623
  6. Step 6: Final answer
    x = 177,860,673.64

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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.