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Finding the Third Proportional to 16,500,142 and 35,527,916

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Solution

The third proportional to 16,500,142 and 35,527,916 is: 76,498,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500,142 : 35,527,916 = 35,527,916 : x
  2. Step 2: Convert to fraction form
    16,500,142/35,527,916 = 35,527,916/x
  3. Step 3: Cross multiply
    16,500,142x = 35,527,916 × 35,527,916
  4. Step 4: Simplify right side
    16,500,142x = 1,262,232,815,303,056
  5. Step 5: Solve for x
    x = 1,262,232,815,303,056/16,500,142
  6. Step 6: Final answer
    x = 76,498,300.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.