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Finding the Third Proportional to 5,825,575 and 8,738,368

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Solution

The third proportional to 5,825,575 and 8,738,368 is: 13,107,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825,575 : 8,738,368 = 8,738,368 : x
  2. Step 2: Convert to fraction form
    5,825,575/8,738,368 = 8,738,368/x
  3. Step 3: Cross multiply
    5,825,575x = 8,738,368 × 8,738,368
  4. Step 4: Simplify right side
    5,825,575x = 76,359,075,303,424
  5. Step 5: Solve for x
    x = 76,359,075,303,424/5,825,575
  6. Step 6: Final answer
    x = 13,107,560.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.