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Finding the Third Proportional to 35,529,285.75 and 77,745,000

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Solution

The third proportional to 35,529,285.75 and 77,745,000 is: 170,121,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,529,285.75 : 77,745,000 = 77,745,000 : x
  2. Step 2: Convert to fraction form
    35,529,285.75/77,745,000 = 77,745,000/x
  3. Step 3: Cross multiply
    35,529,285.75x = 77,745,000 × 77,745,000
  4. Step 4: Simplify right side
    35,529,285.75x = 6,044,285,025,000,000
  5. Step 5: Solve for x
    x = 6,044,285,025,000,000/35,529,285.75
  6. Step 6: Final answer
    x = 170,121,208.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.