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Finding the Third Proportional to 16,409,686.50 and 35,968,401

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Solution

The third proportional to 16,409,686.50 and 35,968,401 is: 78,839,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409,686.50 : 35,968,401 = 35,968,401 : x
  2. Step 2: Convert to fraction form
    16,409,686.50/35,968,401 = 35,968,401/x
  3. Step 3: Cross multiply
    16,409,686.50x = 35,968,401 × 35,968,401
  4. Step 4: Simplify right side
    16,409,686.50x = 1,293,725,870,496,801
  5. Step 5: Solve for x
    x = 1,293,725,870,496,801/16,409,686.50
  6. Step 6: Final answer
    x = 78,839,158.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.