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Finding the Third Proportional to 9,638,211 and 20,075,478

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Solution

The third proportional to 9,638,211 and 20,075,478 is: 41,815,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638,211 : 20,075,478 = 20,075,478 : x
  2. Step 2: Convert to fraction form
    9,638,211/20,075,478 = 20,075,478/x
  3. Step 3: Cross multiply
    9,638,211x = 20,075,478 × 20,075,478
  4. Step 4: Simplify right side
    9,638,211x = 403,024,816,928,484
  5. Step 5: Solve for x
    x = 403,024,816,928,484/9,638,211
  6. Step 6: Final answer
    x = 41,815,313.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.