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Finding the Third Proportional to 182,692,441,888 and 380,419,698,947

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Solution

The third proportional to 182,692,441,888 and 380,419,698,947 is: 792,146,329,926.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,692,441,888 : 380,419,698,947 = 380,419,698,947 : x
  2. Step 2: Convert to fraction form
    182,692,441,888/380,419,698,947 = 380,419,698,947/x
  3. Step 3: Cross multiply
    182,692,441,888x = 380,419,698,947 × 380,419,698,947
  4. Step 4: Simplify right side
    182,692,441,888x = 144,719,147,346,926,120,206,336
  5. Step 5: Solve for x
    x = 144,719,147,346,926,120,206,336/182,692,441,888
  6. Step 6: Final answer
    x = 792,146,329,926.70

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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.