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Finding the Third Proportional to 644,040,563 and 1,414,604,746

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Solution

The third proportional to 644,040,563 and 1,414,604,746 is: 3,107,112,660.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,040,563 : 1,414,604,746 = 1,414,604,746 : x
  2. Step 2: Convert to fraction form
    644,040,563/1,414,604,746 = 1,414,604,746/x
  3. Step 3: Cross multiply
    644,040,563x = 1,414,604,746 × 1,414,604,746
  4. Step 4: Simplify right side
    644,040,563x = 2,001,106,587,405,724,416
  5. Step 5: Solve for x
    x = 2,001,106,587,405,724,416/644,040,563
  6. Step 6: Final answer
    x = 3,107,112,660.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.