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Finding the Third Proportional to 1,617,775,924 and 3,485,462,800

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Solution

The third proportional to 1,617,775,924 and 3,485,462,800 is: 7,509,353,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,775,924 : 3,485,462,800 = 3,485,462,800 : x
  2. Step 2: Convert to fraction form
    1,617,775,924/3,485,462,800 = 3,485,462,800/x
  3. Step 3: Cross multiply
    1,617,775,924x = 3,485,462,800 × 3,485,462,800
  4. Step 4: Simplify right side
    1,617,775,924x = 12,148,450,930,183,839,744
  5. Step 5: Solve for x
    x = 12,148,450,930,183,839,744/1,617,775,924
  6. Step 6: Final answer
    x = 7,509,353,273.19

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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.