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Finding the Third Proportional to 6,823,816.50 and 14,898,030

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Solution

The third proportional to 6,823,816.50 and 14,898,030 is: 32,525,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823,816.50 : 14,898,030 = 14,898,030 : x
  2. Step 2: Convert to fraction form
    6,823,816.50/14,898,030 = 14,898,030/x
  3. Step 3: Cross multiply
    6,823,816.50x = 14,898,030 × 14,898,030
  4. Step 4: Simplify right side
    6,823,816.50x = 221,951,297,880,900
  5. Step 5: Solve for x
    x = 221,951,297,880,900/6,823,816.50
  6. Step 6: Final answer
    x = 32,525,976.90

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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.