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Finding the Third Proportional to 14,905,296 and 31,935,384

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Solution

The third proportional to 14,905,296 and 31,935,384 is: 68,423,247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905,296 : 31,935,384 = 31,935,384 : x
  2. Step 2: Convert to fraction form
    14,905,296/31,935,384 = 31,935,384/x
  3. Step 3: Cross multiply
    14,905,296x = 31,935,384 × 31,935,384
  4. Step 4: Simplify right side
    14,905,296x = 1,019,868,751,227,456
  5. Step 5: Solve for x
    x = 1,019,868,751,227,456/14,905,296
  6. Step 6: Final answer
    x = 68,423,247.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.