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Finding the Third Proportional to 182,692,441,907 and 380,419,698,985

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Solution

The third proportional to 182,692,441,907 and 380,419,698,985 is: 792,146,330,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,692,441,907 : 380,419,698,985 = 380,419,698,985 : x
  2. Step 2: Convert to fraction form
    182,692,441,907/380,419,698,985 = 380,419,698,985/x
  3. Step 3: Cross multiply
    182,692,441,907x = 380,419,698,985 × 380,419,698,985
  4. Step 4: Simplify right side
    182,692,441,907x = 144,719,147,375,838,011,326,464
  5. Step 5: Solve for x
    x = 144,719,147,375,838,011,326,464/182,692,441,907
  6. Step 6: Final answer
    x = 792,146,330,002.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.