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Finding the Third Proportional to 5,905,050.19 and 8,444,232.28

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Solution

The third proportional to 5,905,050.19 and 8,444,232.28 is: 12,075,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905,050.19 : 8,444,232.28 = 8,444,232.28 : x
  2. Step 2: Convert to fraction form
    5,905,050.19/8,444,232.28 = 8,444,232.28/x
  3. Step 3: Cross multiply
    5,905,050.19x = 8,444,232.28 × 8,444,232.28
  4. Step 4: Simplify right side
    5,905,050.19x = 71,305,058,819,704.58
  5. Step 5: Solve for x
    x = 71,305,058,819,704.58/5,905,050.19
  6. Step 6: Final answer
    x = 12,075,267.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.