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Finding the Third Proportional to 550,991,048.63 and 1,198,833,483.38

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Solution

The third proportional to 550,991,048.63 and 1,198,833,483.38 is: 2,608,393,955.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,991,048.63 : 1,198,833,483.38 = 1,198,833,483.38 : x
  2. Step 2: Convert to fraction form
    550,991,048.63/1,198,833,483.38 = 1,198,833,483.38/x
  3. Step 3: Cross multiply
    550,991,048.63x = 1,198,833,483.38 × 1,198,833,483.38
  4. Step 4: Simplify right side
    550,991,048.63x = 1,437,201,720,861,036,288
  5. Step 5: Solve for x
    x = 1,437,201,720,861,036,288/550,991,048.63
  6. Step 6: Final answer
    x = 2,608,393,955.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.