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Finding the Third Proportional to 4,028,559,878 and 8,669,339,972

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Solution

The third proportional to 4,028,559,878 and 8,669,339,972 is: 18,656,159,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,028,559,878 : 8,669,339,972 = 8,669,339,972 : x
  2. Step 2: Convert to fraction form
    4,028,559,878/8,669,339,972 = 8,669,339,972/x
  3. Step 3: Cross multiply
    4,028,559,878x = 8,669,339,972 × 8,669,339,972
  4. Step 4: Simplify right side
    4,028,559,878x = 75,157,455,550,116,954,112
  5. Step 5: Solve for x
    x = 75,157,455,550,116,954,112/4,028,559,878
  6. Step 6: Final answer
    x = 18,656,159,477.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.