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Finding the Third Proportional to 1,441,734,210 and 2,233,435,608

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Solution

The third proportional to 1,441,734,210 and 2,233,435,608 is: 3,459,885,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441,734,210 : 2,233,435,608 = 2,233,435,608 : x
  2. Step 2: Convert to fraction form
    1,441,734,210/2,233,435,608 = 2,233,435,608/x
  3. Step 3: Cross multiply
    1,441,734,210x = 2,233,435,608 × 2,233,435,608
  4. Step 4: Simplify right side
    1,441,734,210x = 4,988,234,615,082,330,112
  5. Step 5: Solve for x
    x = 4,988,234,615,082,330,112/1,441,734,210
  6. Step 6: Final answer
    x = 3,459,885,033.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.