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Finding the Third Proportional to 38,112,333.50 and 81,757,291.50

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Solution

The third proportional to 38,112,333.50 and 81,757,291.50 is: 175,382,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,112,333.50 : 81,757,291.50 = 81,757,291.50 : x
  2. Step 2: Convert to fraction form
    38,112,333.50/81,757,291.50 = 81,757,291.50/x
  3. Step 3: Cross multiply
    38,112,333.50x = 81,757,291.50 × 81,757,291.50
  4. Step 4: Simplify right side
    38,112,333.50x = 6,684,254,713,415,972
  5. Step 5: Solve for x
    x = 6,684,254,713,415,972/38,112,333.50
  6. Step 6: Final answer
    x = 175,382,982.35

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Why These Related Problems?

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