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Finding the Third Proportional to 5,313,249 and 11,400,534

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Solution

The third proportional to 5,313,249 and 11,400,534 is: 24,461,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313,249 : 11,400,534 = 11,400,534 : x
  2. Step 2: Convert to fraction form
    5,313,249/11,400,534 = 11,400,534/x
  3. Step 3: Cross multiply
    5,313,249x = 11,400,534 × 11,400,534
  4. Step 4: Simplify right side
    5,313,249x = 129,972,175,485,156
  5. Step 5: Solve for x
    x = 129,972,175,485,156/5,313,249
  6. Step 6: Final answer
    x = 24,461,901.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.