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Finding the Third Proportional to 408,075,952.22 and 874,369,297.69

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Solution

The third proportional to 408,075,952.22 and 874,369,297.69 is: 1,873,478,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,075,952.22 : 874,369,297.69 = 874,369,297.69 : x
  2. Step 2: Convert to fraction form
    408,075,952.22/874,369,297.69 = 874,369,297.69/x
  3. Step 3: Cross multiply
    408,075,952.22x = 874,369,297.69 × 874,369,297.69
  4. Step 4: Simplify right side
    408,075,952.22x = 764,521,668,738,567,040
  5. Step 5: Solve for x
    x = 764,521,668,738,567,040/408,075,952.22
  6. Step 6: Final answer
    x = 1,873,478,857.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.