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Finding the Third Proportional to 1,505,047,932 and 3,240,741,240

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Solution

The third proportional to 1,505,047,932 and 3,240,741,240 is: 6,978,119,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505,047,932 : 3,240,741,240 = 3,240,741,240 : x
  2. Step 2: Convert to fraction form
    1,505,047,932/3,240,741,240 = 3,240,741,240/x
  3. Step 3: Cross multiply
    1,505,047,932x = 3,240,741,240 × 3,240,741,240
  4. Step 4: Simplify right side
    1,505,047,932x = 10,502,403,784,636,737,536
  5. Step 5: Solve for x
    x = 10,502,403,784,636,737,536/1,505,047,932
  6. Step 6: Final answer
    x = 6,978,119,142.48

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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.