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Finding the Third Proportional to 38,835,081 and 83,722,641

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Solution

The third proportional to 38,835,081 and 83,722,641 is: 180,493,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,835,081 : 83,722,641 = 83,722,641 : x
  2. Step 2: Convert to fraction form
    38,835,081/83,722,641 = 83,722,641/x
  3. Step 3: Cross multiply
    38,835,081x = 83,722,641 × 83,722,641
  4. Step 4: Simplify right side
    38,835,081x = 7,009,480,616,014,881
  5. Step 5: Solve for x
    x = 7,009,480,616,014,881/38,835,081
  6. Step 6: Final answer
    x = 180,493,523.78

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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.