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Finding the Third Proportional to 29,683,183 and 45,407,573

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Solution

The third proportional to 29,683,183 and 45,407,573 is: 69,461,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,683,183 : 45,407,573 = 45,407,573 : x
  2. Step 2: Convert to fraction form
    29,683,183/45,407,573 = 45,407,573/x
  3. Step 3: Cross multiply
    29,683,183x = 45,407,573 × 45,407,573
  4. Step 4: Simplify right side
    29,683,183x = 2,061,847,685,750,329
  5. Step 5: Solve for x
    x = 2,061,847,685,750,329/29,683,183
  6. Step 6: Final answer
    x = 69,461,812.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.