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Finding the Third Proportional to 1,617,775,926 and 3,485,462,804

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Solution

The third proportional to 1,617,775,926 and 3,485,462,804 is: 7,509,353,281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,775,926 : 3,485,462,804 = 3,485,462,804 : x
  2. Step 2: Convert to fraction form
    1,617,775,926/3,485,462,804 = 3,485,462,804/x
  3. Step 3: Cross multiply
    1,617,775,926x = 3,485,462,804 × 3,485,462,804
  4. Step 4: Simplify right side
    1,617,775,926x = 12,148,450,958,067,542,016
  5. Step 5: Solve for x
    x = 12,148,450,958,067,542,016/1,617,775,926
  6. Step 6: Final answer
    x = 7,509,353,281.15

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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.