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Finding the Third Proportional to 4,380,866,656,094 and 9,364,629,795,772

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Solution

The third proportional to 4,380,866,656,094 and 9,364,629,795,772 is: 20,018,023,394,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380,866,656,094 : 9,364,629,795,772 = 9,364,629,795,772 : x
  2. Step 2: Convert to fraction form
    4,380,866,656,094/9,364,629,795,772 = 9,364,629,795,772/x
  3. Step 3: Cross multiply
    4,380,866,656,094x = 9,364,629,795,772 × 9,364,629,795,772
  4. Step 4: Simplify right side
    4,380,866,656,094x = 87,696,291,211,860,728,352,866,304
  5. Step 5: Solve for x
    x = 87,696,291,211,860,728,352,866,304/4,380,866,656,094
  6. Step 6: Final answer
    x = 20,018,023,394,953.35

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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.