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Finding the Third Proportional to 4,027,057,242 and 8,168,941,030.50

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Solution

The third proportional to 4,027,057,242 and 8,168,941,030.50 is: 16,570,809,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027,057,242 : 8,168,941,030.50 = 8,168,941,030.50 : x
  2. Step 2: Convert to fraction form
    4,027,057,242/8,168,941,030.50 = 8,168,941,030.50/x
  3. Step 3: Cross multiply
    4,027,057,242x = 8,168,941,030.50 × 8,168,941,030.50
  4. Step 4: Simplify right side
    4,027,057,242x = 66,731,597,559,786,405,888
  5. Step 5: Solve for x
    x = 66,731,597,559,786,405,888/4,027,057,242
  6. Step 6: Final answer
    x = 16,570,809,290.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.