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Finding the Third Proportional to 19,631,829 and 41,993,037

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Solution

The third proportional to 19,631,829 and 41,993,037 is: 89,824,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,631,829 : 41,993,037 = 41,993,037 : x
  2. Step 2: Convert to fraction form
    19,631,829/41,993,037 = 41,993,037/x
  3. Step 3: Cross multiply
    19,631,829x = 41,993,037 × 41,993,037
  4. Step 4: Simplify right side
    19,631,829x = 1,763,415,156,483,369
  5. Step 5: Solve for x
    x = 1,763,415,156,483,369/19,631,829
  6. Step 6: Final answer
    x = 89,824,292.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.