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Finding the Third Proportional to 2,735,266 and 5,952,158

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Solution

The third proportional to 2,735,266 and 5,952,158 is: 12,952,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735,266 : 5,952,158 = 5,952,158 : x
  2. Step 2: Convert to fraction form
    2,735,266/5,952,158 = 5,952,158/x
  3. Step 3: Cross multiply
    2,735,266x = 5,952,158 × 5,952,158
  4. Step 4: Simplify right side
    2,735,266x = 35,428,184,856,964
  5. Step 5: Solve for x
    x = 35,428,184,856,964/2,735,266
  6. Step 6: Final answer
    x = 12,952,372.77

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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.