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Finding the Third Proportional to 14,061,225 and 30,823,965

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Solution

The third proportional to 14,061,225 and 30,823,965 is: 67,569,988.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,061,225 : 30,823,965 = 30,823,965 : x
  2. Step 2: Convert to fraction form
    14,061,225/30,823,965 = 30,823,965/x
  3. Step 3: Cross multiply
    14,061,225x = 30,823,965 × 30,823,965
  4. Step 4: Simplify right side
    14,061,225x = 950,116,818,321,225
  5. Step 5: Solve for x
    x = 950,116,818,321,225/14,061,225
  6. Step 6: Final answer
    x = 67,569,988.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.