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Finding the Third Proportional to 5,386,827 and 11,628,285

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Solution

The third proportional to 5,386,827 and 11,628,285 is: 25,101,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386,827 : 11,628,285 = 11,628,285 : x
  2. Step 2: Convert to fraction form
    5,386,827/11,628,285 = 11,628,285/x
  3. Step 3: Cross multiply
    5,386,827x = 11,628,285 × 11,628,285
  4. Step 4: Simplify right side
    5,386,827x = 135,217,012,041,225
  5. Step 5: Solve for x
    x = 135,217,012,041,225/5,386,827
  6. Step 6: Final answer
    x = 25,101,420.94

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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.