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Finding the Third Proportional to 662,112,033 and 1,419,286,951.50

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Solution

The third proportional to 662,112,033 and 1,419,286,951.50 is: 3,042,348,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,112,033 : 1,419,286,951.50 = 1,419,286,951.50 : x
  2. Step 2: Convert to fraction form
    662,112,033/1,419,286,951.50 = 1,419,286,951.50/x
  3. Step 3: Cross multiply
    662,112,033x = 1,419,286,951.50 × 1,419,286,951.50
  4. Step 4: Simplify right side
    662,112,033x = 2,014,375,450,698,163,456
  5. Step 5: Solve for x
    x = 2,014,375,450,698,163,456/662,112,033
  6. Step 6: Final answer
    x = 3,042,348,349.37

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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.