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Finding the Third Proportional to 16,700,096 and 25,858,200

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Solution

The third proportional to 16,700,096 and 25,858,200 is: 40,038,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700,096 : 25,858,200 = 25,858,200 : x
  2. Step 2: Convert to fraction form
    16,700,096/25,858,200 = 25,858,200/x
  3. Step 3: Cross multiply
    16,700,096x = 25,858,200 × 25,858,200
  4. Step 4: Simplify right side
    16,700,096x = 668,646,507,240,000
  5. Step 5: Solve for x
    x = 668,646,507,240,000/16,700,096
  6. Step 6: Final answer
    x = 40,038,482.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.