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Finding the Third Proportional to 5,386,844 and 11,628,315

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Solution

The third proportional to 5,386,844 and 11,628,315 is: 25,101,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386,844 : 11,628,315 = 11,628,315 : x
  2. Step 2: Convert to fraction form
    5,386,844/11,628,315 = 11,628,315/x
  3. Step 3: Cross multiply
    5,386,844x = 11,628,315 × 11,628,315
  4. Step 4: Simplify right side
    5,386,844x = 135,217,709,739,225
  5. Step 5: Solve for x
    x = 135,217,709,739,225/5,386,844
  6. Step 6: Final answer
    x = 25,101,471.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.