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Finding the Third Proportional to 37,683,792 and 81,627,932.25

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Solution

The third proportional to 37,683,792 and 81,627,932.25 is: 176,816,582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,683,792 : 81,627,932.25 = 81,627,932.25 : x
  2. Step 2: Convert to fraction form
    37,683,792/81,627,932.25 = 81,627,932.25/x
  3. Step 3: Cross multiply
    37,683,792x = 81,627,932.25 × 81,627,932.25
  4. Step 4: Simplify right side
    37,683,792x = 6,663,119,323,410,590
  5. Step 5: Solve for x
    x = 6,663,119,323,410,590/37,683,792
  6. Step 6: Final answer
    x = 176,816,582.67

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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.