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Finding the Third Proportional to 45,773,727.75 and 68,660,682.75

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Solution

The third proportional to 45,773,727.75 and 68,660,682.75 is: 102,991,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,773,727.75 : 68,660,682.75 = 68,660,682.75 : x
  2. Step 2: Convert to fraction form
    45,773,727.75/68,660,682.75 = 68,660,682.75/x
  3. Step 3: Cross multiply
    45,773,727.75x = 68,660,682.75 × 68,660,682.75
  4. Step 4: Simplify right side
    45,773,727.75x = 4,714,289,355,696,148
  5. Step 5: Solve for x
    x = 4,714,289,355,696,148/45,773,727.75
  6. Step 6: Final answer
    x = 102,991,160.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.