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Finding the Third Proportional to 35,822,976.75 and 77,728,000.50

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Solution

The third proportional to 35,822,976.75 and 77,728,000.50 is: 168,652,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,822,976.75 : 77,728,000.50 = 77,728,000.50 : x
  2. Step 2: Convert to fraction form
    35,822,976.75/77,728,000.50 = 77,728,000.50/x
  3. Step 3: Cross multiply
    35,822,976.75x = 77,728,000.50 × 77,728,000.50
  4. Step 4: Simplify right side
    35,822,976.75x = 6,041,642,061,728,000
  5. Step 5: Solve for x
    x = 6,041,642,061,728,000/35,822,976.75
  6. Step 6: Final answer
    x = 168,652,708.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.