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Finding the Third Proportional to 5,201,478 and 11,289,318

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Solution

The third proportional to 5,201,478 and 11,289,318 is: 24,502,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201,478 : 11,289,318 = 11,289,318 : x
  2. Step 2: Convert to fraction form
    5,201,478/11,289,318 = 11,289,318/x
  3. Step 3: Cross multiply
    5,201,478x = 11,289,318 × 11,289,318
  4. Step 4: Simplify right side
    5,201,478x = 127,448,700,905,124
  5. Step 5: Solve for x
    x = 127,448,700,905,124/5,201,478
  6. Step 6: Final answer
    x = 24,502,401.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.