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Finding the Third Proportional to 36,666,337.50 and 76,344,997.50

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Solution

The third proportional to 36,666,337.50 and 76,344,997.50 is: 158,962,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,666,337.50 : 76,344,997.50 = 76,344,997.50 : x
  2. Step 2: Convert to fraction form
    36,666,337.50/76,344,997.50 = 76,344,997.50/x
  3. Step 3: Cross multiply
    36,666,337.50x = 76,344,997.50 × 76,344,997.50
  4. Step 4: Simplify right side
    36,666,337.50x = 5,828,558,643,275,006
  5. Step 5: Solve for x
    x = 5,828,558,643,275,006/36,666,337.50
  6. Step 6: Final answer
    x = 158,962,117.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.