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Finding the Third Proportional to 1,535,425,268 and 3,315,509,992

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Solution

The third proportional to 1,535,425,268 and 3,315,509,992 is: 7,159,323,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,425,268 : 3,315,509,992 = 3,315,509,992 : x
  2. Step 2: Convert to fraction form
    1,535,425,268/3,315,509,992 = 3,315,509,992/x
  3. Step 3: Cross multiply
    1,535,425,268x = 3,315,509,992 × 3,315,509,992
  4. Step 4: Simplify right side
    1,535,425,268x = 10,992,606,507,051,839,488
  5. Step 5: Solve for x
    x = 10,992,606,507,051,839,488/1,535,425,268
  6. Step 6: Final answer
    x = 7,159,323,697.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.