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Finding the Third Proportional to 3,683,213 and 8,035,465

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Solution

The third proportional to 3,683,213 and 8,035,465 is: 17,530,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683,213 : 8,035,465 = 8,035,465 : x
  2. Step 2: Convert to fraction form
    3,683,213/8,035,465 = 8,035,465/x
  3. Step 3: Cross multiply
    3,683,213x = 8,035,465 × 8,035,465
  4. Step 4: Simplify right side
    3,683,213x = 64,568,697,766,225
  5. Step 5: Solve for x
    x = 64,568,697,766,225/3,683,213
  6. Step 6: Final answer
    x = 17,530,535.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.