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Finding the Third Proportional to 16,689,967 and 35,775,266

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Solution

The third proportional to 16,689,967 and 35,775,266 is: 76,684,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,689,967 : 35,775,266 = 35,775,266 : x
  2. Step 2: Convert to fraction form
    16,689,967/35,775,266 = 35,775,266/x
  3. Step 3: Cross multiply
    16,689,967x = 35,775,266 × 35,775,266
  4. Step 4: Simplify right side
    16,689,967x = 1,279,869,657,370,756
  5. Step 5: Solve for x
    x = 1,279,869,657,370,756/16,689,967
  6. Step 6: Final answer
    x = 76,684,972.32

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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.