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Finding the Third Proportional to 7,398,075 and 16,210,410

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Solution

The third proportional to 7,398,075 and 16,210,410 is: 35,519,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398,075 : 16,210,410 = 16,210,410 : x
  2. Step 2: Convert to fraction form
    7,398,075/16,210,410 = 16,210,410/x
  3. Step 3: Cross multiply
    7,398,075x = 16,210,410 × 16,210,410
  4. Step 4: Simplify right side
    7,398,075x = 262,777,392,368,100
  5. Step 5: Solve for x
    x = 262,777,392,368,100/7,398,075
  6. Step 6: Final answer
    x = 35,519,698.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.