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Finding the Third Proportional to 36,683,724 and 74,960,232

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Solution

The third proportional to 36,683,724 and 74,960,232 is: 153,175,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,683,724 : 74,960,232 = 74,960,232 : x
  2. Step 2: Convert to fraction form
    36,683,724/74,960,232 = 74,960,232/x
  3. Step 3: Cross multiply
    36,683,724x = 74,960,232 × 74,960,232
  4. Step 4: Simplify right side
    36,683,724x = 5,619,036,381,493,824
  5. Step 5: Solve for x
    x = 5,619,036,381,493,824/36,683,724
  6. Step 6: Final answer
    x = 153,175,189.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.