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Finding the Third Proportional to 34,077,971 and 73,352,257

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Solution

The third proportional to 34,077,971 and 73,352,257 is: 157,889,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,077,971 : 73,352,257 = 73,352,257 : x
  2. Step 2: Convert to fraction form
    34,077,971/73,352,257 = 73,352,257/x
  3. Step 3: Cross multiply
    34,077,971x = 73,352,257 × 73,352,257
  4. Step 4: Simplify right side
    34,077,971x = 5,380,553,606,994,049
  5. Step 5: Solve for x
    x = 5,380,553,606,994,049/34,077,971
  6. Step 6: Final answer
    x = 157,889,494.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.