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Finding the Third Proportional to 38,202,621 and 82,455,158

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Solution

The third proportional to 38,202,621 and 82,455,158 is: 177,968,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,202,621 : 82,455,158 = 82,455,158 : x
  2. Step 2: Convert to fraction form
    38,202,621/82,455,158 = 82,455,158/x
  3. Step 3: Cross multiply
    38,202,621x = 82,455,158 × 82,455,158
  4. Step 4: Simplify right side
    38,202,621x = 6,798,853,080,804,964
  5. Step 5: Solve for x
    x = 6,798,853,080,804,964/38,202,621
  6. Step 6: Final answer
    x = 177,968,236.28

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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.