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Finding the Third Proportional to 4,361,977,488 and 9,389,082,912

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Solution

The third proportional to 4,361,977,488 and 9,389,082,912 is: 20,209,842,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361,977,488 : 9,389,082,912 = 9,389,082,912 : x
  2. Step 2: Convert to fraction form
    4,361,977,488/9,389,082,912 = 9,389,082,912/x
  3. Step 3: Cross multiply
    4,361,977,488x = 9,389,082,912 × 9,389,082,912
  4. Step 4: Simplify right side
    4,361,977,488x = 88,154,877,928,410,398,720
  5. Step 5: Solve for x
    x = 88,154,877,928,410,398,720/4,361,977,488
  6. Step 6: Final answer
    x = 20,209,842,478.77

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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.