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Finding the Third Proportional to 6,410,611,599 and 13,924,773,894

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Solution

The third proportional to 6,410,611,599 and 13,924,773,894 is: 30,246,619,219.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410,611,599 : 13,924,773,894 = 13,924,773,894 : x
  2. Step 2: Convert to fraction form
    6,410,611,599/13,924,773,894 = 13,924,773,894/x
  3. Step 3: Cross multiply
    6,410,611,599x = 13,924,773,894 × 13,924,773,894
  4. Step 4: Simplify right side
    6,410,611,599x = 193,899,327,999,023,939,584
  5. Step 5: Solve for x
    x = 193,899,327,999,023,939,584/6,410,611,599
  6. Step 6: Final answer
    x = 30,246,619,219.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.