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Finding the Third Proportional to 1,382,647,921 and 2,021,479,588

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Solution

The third proportional to 1,382,647,921 and 2,021,479,588 is: 2,955,473,814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,647,921 : 2,021,479,588 = 2,021,479,588 : x
  2. Step 2: Convert to fraction form
    1,382,647,921/2,021,479,588 = 2,021,479,588/x
  3. Step 3: Cross multiply
    1,382,647,921x = 2,021,479,588 × 2,021,479,588
  4. Step 4: Simplify right side
    1,382,647,921x = 4,086,379,724,700,649,984
  5. Step 5: Solve for x
    x = 4,086,379,724,700,649,984/1,382,647,921
  6. Step 6: Final answer
    x = 2,955,473,814.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.