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Finding the Third Proportional to 6,823,807.50 and 14,898,012

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Solution

The third proportional to 6,823,807.50 and 14,898,012 is: 32,525,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823,807.50 : 14,898,012 = 14,898,012 : x
  2. Step 2: Convert to fraction form
    6,823,807.50/14,898,012 = 14,898,012/x
  3. Step 3: Cross multiply
    6,823,807.50x = 14,898,012 × 14,898,012
  4. Step 4: Simplify right side
    6,823,807.50x = 221,950,761,552,144
  5. Step 5: Solve for x
    x = 221,950,761,552,144/6,823,807.50
  6. Step 6: Final answer
    x = 32,525,941.21

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