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Finding the Third Proportional to 2,669,803 and 5,824,747

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Solution

The third proportional to 2,669,803 and 5,824,747 is: 12,707,932.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669,803 : 5,824,747 = 5,824,747 : x
  2. Step 2: Convert to fraction form
    2,669,803/5,824,747 = 5,824,747/x
  3. Step 3: Cross multiply
    2,669,803x = 5,824,747 × 5,824,747
  4. Step 4: Simplify right side
    2,669,803x = 33,927,677,614,009
  5. Step 5: Solve for x
    x = 33,927,677,614,009/2,669,803
  6. Step 6: Final answer
    x = 12,707,932.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.