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Finding the Third Proportional to 38,468,546 and 81,229,444

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Solution

The third proportional to 38,468,546 and 81,229,444 is: 171,522,536.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,468,546 : 81,229,444 = 81,229,444 : x
  2. Step 2: Convert to fraction form
    38,468,546/81,229,444 = 81,229,444/x
  3. Step 3: Cross multiply
    38,468,546x = 81,229,444 × 81,229,444
  4. Step 4: Simplify right side
    38,468,546x = 6,598,222,572,549,136
  5. Step 5: Solve for x
    x = 6,598,222,572,549,136/38,468,546
  6. Step 6: Final answer
    x = 171,522,536.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.