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Finding the Third Proportional to 1,268,871,237 and 1,939,776,903

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Solution

The third proportional to 1,268,871,237 and 1,939,776,903 is: 2,965,418,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,871,237 : 1,939,776,903 = 1,939,776,903 : x
  2. Step 2: Convert to fraction form
    1,268,871,237/1,939,776,903 = 1,939,776,903/x
  3. Step 3: Cross multiply
    1,268,871,237x = 1,939,776,903 × 1,939,776,903
  4. Step 4: Simplify right side
    1,268,871,237x = 3,762,734,433,412,271,616
  5. Step 5: Solve for x
    x = 3,762,734,433,412,271,616/1,268,871,237
  6. Step 6: Final answer
    x = 2,965,418,652.18

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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.