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Finding the Third Proportional to 6,457,816.50 and 13,942,920

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Solution

The third proportional to 6,457,816.50 and 13,942,920 is: 30,103,831.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,816.50 : 13,942,920 = 13,942,920 : x
  2. Step 2: Convert to fraction form
    6,457,816.50/13,942,920 = 13,942,920/x
  3. Step 3: Cross multiply
    6,457,816.50x = 13,942,920 × 13,942,920
  4. Step 4: Simplify right side
    6,457,816.50x = 194,405,018,126,400
  5. Step 5: Solve for x
    x = 194,405,018,126,400/6,457,816.50
  6. Step 6: Final answer
    x = 30,103,831.24

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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.