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Finding the Third Proportional to 16,206,084 and 35,102,664

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Solution

The third proportional to 16,206,084 and 35,102,664 is: 76,032,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206,084 : 35,102,664 = 35,102,664 : x
  2. Step 2: Convert to fraction form
    16,206,084/35,102,664 = 35,102,664/x
  3. Step 3: Cross multiply
    16,206,084x = 35,102,664 × 35,102,664
  4. Step 4: Simplify right side
    16,206,084x = 1,232,197,019,896,896
  5. Step 5: Solve for x
    x = 1,232,197,019,896,896/16,206,084
  6. Step 6: Final answer
    x = 76,032,989.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.