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Finding the Third Proportional to 1,199,020,096 and 1,798,530,143

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Solution

The third proportional to 1,199,020,096 and 1,798,530,143 is: 2,697,795,213

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,020,096 : 1,798,530,143 = 1,798,530,143 : x
  2. Step 2: Convert to fraction form
    1,199,020,096/1,798,530,143 = 1,798,530,143/x
  3. Step 3: Cross multiply
    1,199,020,096x = 1,798,530,143 × 1,798,530,143
  4. Step 4: Simplify right side
    1,199,020,096x = 3,234,710,675,279,600,640
  5. Step 5: Solve for x
    x = 3,234,710,675,279,600,640/1,199,020,096
  6. Step 6: Final answer
    x = 2,697,795,213

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.