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Finding the Third Proportional to 6,612,827,328 and 14,277,611,768

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Solution

The third proportional to 6,612,827,328 and 14,277,611,768 is: 30,826,481,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,612,827,328 : 14,277,611,768 = 14,277,611,768 : x
  2. Step 2: Convert to fraction form
    6,612,827,328/14,277,611,768 = 14,277,611,768/x
  3. Step 3: Cross multiply
    6,612,827,328x = 14,277,611,768 × 14,277,611,768
  4. Step 4: Simplify right side
    6,612,827,328x = 203,850,197,797,732,089,856
  5. Step 5: Solve for x
    x = 203,850,197,797,732,089,856/6,612,827,328
  6. Step 6: Final answer
    x = 30,826,481,274.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.