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Finding the Third Proportional to 2,762,268 and 5,908,224

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Solution

The third proportional to 2,762,268 and 5,908,224 is: 12,637,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762,268 : 5,908,224 = 5,908,224 : x
  2. Step 2: Convert to fraction form
    2,762,268/5,908,224 = 5,908,224/x
  3. Step 3: Cross multiply
    2,762,268x = 5,908,224 × 5,908,224
  4. Step 4: Simplify right side
    2,762,268x = 34,907,110,834,176
  5. Step 5: Solve for x
    x = 34,907,110,834,176/2,762,268
  6. Step 6: Final answer
    x = 12,637,119.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.