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Finding the Third Proportional to 8,295,960 and 17,254,102

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Solution

The third proportional to 8,295,960 and 17,254,102 is: 35,885,423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295,960 : 17,254,102 = 17,254,102 : x
  2. Step 2: Convert to fraction form
    8,295,960/17,254,102 = 17,254,102/x
  3. Step 3: Cross multiply
    8,295,960x = 17,254,102 × 17,254,102
  4. Step 4: Simplify right side
    8,295,960x = 297,704,035,826,404
  5. Step 5: Solve for x
    x = 297,704,035,826,404/8,295,960
  6. Step 6: Final answer
    x = 35,885,423.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.