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Finding the Third Proportional to 1,268,871,243 and 1,939,776,912

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Solution

The third proportional to 1,268,871,243 and 1,939,776,912 is: 2,965,418,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,871,243 : 1,939,776,912 = 1,939,776,912 : x
  2. Step 2: Convert to fraction form
    1,268,871,243/1,939,776,912 = 1,939,776,912/x
  3. Step 3: Cross multiply
    1,268,871,243x = 1,939,776,912 × 1,939,776,912
  4. Step 4: Simplify right side
    1,268,871,243x = 3,762,734,468,328,255,488
  5. Step 5: Solve for x
    x = 3,762,734,468,328,255,488/1,268,871,243
  6. Step 6: Final answer
    x = 2,965,418,665.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.