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Finding the Third Proportional to 6,729,647,604 and 14,725,778,154

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Solution

The third proportional to 6,729,647,604 and 14,725,778,154 is: 32,222,867,377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,647,604 : 14,725,778,154 = 14,725,778,154 : x
  2. Step 2: Convert to fraction form
    6,729,647,604/14,725,778,154 = 14,725,778,154/x
  3. Step 3: Cross multiply
    6,729,647,604x = 14,725,778,154 × 14,725,778,154
  4. Step 4: Simplify right side
    6,729,647,604x = 216,848,542,240,823,640,064
  5. Step 5: Solve for x
    x = 216,848,542,240,823,640,064/6,729,647,604
  6. Step 6: Final answer
    x = 32,222,867,377.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.