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Finding the Third Proportional to 36,036,313.50 and 77,741,331

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Solution

The third proportional to 36,036,313.50 and 77,741,331 is: 167,711,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,036,313.50 : 77,741,331 = 77,741,331 : x
  2. Step 2: Convert to fraction form
    36,036,313.50/77,741,331 = 77,741,331/x
  3. Step 3: Cross multiply
    36,036,313.50x = 77,741,331 × 77,741,331
  4. Step 4: Simplify right side
    36,036,313.50x = 6,043,714,545,651,561
  5. Step 5: Solve for x
    x = 6,043,714,545,651,561/36,036,313.50
  6. Step 6: Final answer
    x = 167,711,787.32

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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.