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Finding the Third Proportional to 2,771,894,307 and 6,163,540,512

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Solution

The third proportional to 2,771,894,307 and 6,163,540,512 is: 13,705,151,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771,894,307 : 6,163,540,512 = 6,163,540,512 : x
  2. Step 2: Convert to fraction form
    2,771,894,307/6,163,540,512 = 6,163,540,512/x
  3. Step 3: Cross multiply
    2,771,894,307x = 6,163,540,512 × 6,163,540,512
  4. Step 4: Simplify right side
    2,771,894,307x = 37,989,231,643,065,221,120
  5. Step 5: Solve for x
    x = 37,989,231,643,065,221,120/2,771,894,307
  6. Step 6: Final answer
    x = 13,705,151,580.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.