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Finding the Third Proportional to 38,580,546 and 82,466,994

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Solution

The third proportional to 38,580,546 and 82,466,994 is: 176,275,501.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580,546 : 82,466,994 = 82,466,994 : x
  2. Step 2: Convert to fraction form
    38,580,546/82,466,994 = 82,466,994/x
  3. Step 3: Cross multiply
    38,580,546x = 82,466,994 × 82,466,994
  4. Step 4: Simplify right side
    38,580,546x = 6,800,805,099,396,036
  5. Step 5: Solve for x
    x = 6,800,805,099,396,036/38,580,546
  6. Step 6: Final answer
    x = 176,275,501.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.