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Finding the Third Proportional to 5,763,563 and 9,041,009

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Solution

The third proportional to 5,763,563 and 9,041,009 is: 14,182,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763,563 : 9,041,009 = 9,041,009 : x
  2. Step 2: Convert to fraction form
    5,763,563/9,041,009 = 9,041,009/x
  3. Step 3: Cross multiply
    5,763,563x = 9,041,009 × 9,041,009
  4. Step 4: Simplify right side
    5,763,563x = 81,739,843,738,081
  5. Step 5: Solve for x
    x = 81,739,843,738,081/5,763,563
  6. Step 6: Final answer
    x = 14,182,172.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.