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Finding the Third Proportional to 1,535,441,832 and 3,315,543,120

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Solution

The third proportional to 1,535,441,832 and 3,315,543,120 is: 7,159,389,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535,441,832 : 3,315,543,120 = 3,315,543,120 : x
  2. Step 2: Convert to fraction form
    1,535,441,832/3,315,543,120 = 3,315,543,120/x
  3. Step 3: Cross multiply
    1,535,441,832x = 3,315,543,120 × 3,315,543,120
  4. Step 4: Simplify right side
    1,535,441,832x = 10,992,826,180,579,334,144
  5. Step 5: Solve for x
    x = 10,992,826,180,579,334,144/1,535,441,832
  6. Step 6: Final answer
    x = 7,159,389,533.02

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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.