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Finding the Third Proportional to 4,682,657 and 10,216,134

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Solution

The third proportional to 4,682,657 and 10,216,134 is: 22,288,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682,657 : 10,216,134 = 10,216,134 : x
  2. Step 2: Convert to fraction form
    4,682,657/10,216,134 = 10,216,134/x
  3. Step 3: Cross multiply
    4,682,657x = 10,216,134 × 10,216,134
  4. Step 4: Simplify right side
    4,682,657x = 104,369,393,905,956
  5. Step 5: Solve for x
    x = 104,369,393,905,956/4,682,657
  6. Step 6: Final answer
    x = 22,288,498.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.