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Finding the Third Proportional to 14,885,296 and 31,924,344

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Solution

The third proportional to 14,885,296 and 31,924,344 is: 68,467,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,885,296 : 31,924,344 = 31,924,344 : x
  2. Step 2: Convert to fraction form
    14,885,296/31,924,344 = 31,924,344/x
  3. Step 3: Cross multiply
    14,885,296x = 31,924,344 × 31,924,344
  4. Step 4: Simplify right side
    14,885,296x = 1,019,163,739,830,336
  5. Step 5: Solve for x
    x = 1,019,163,739,830,336/14,885,296
  6. Step 6: Final answer
    x = 68,467,818.16

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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.