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Finding the Third Proportional to 959,583,337 and 1,474,293,742

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Solution

The third proportional to 959,583,337 and 1,474,293,742 is: 2,265,089,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,583,337 : 1,474,293,742 = 1,474,293,742 : x
  2. Step 2: Convert to fraction form
    959,583,337/1,474,293,742 = 1,474,293,742/x
  3. Step 3: Cross multiply
    959,583,337x = 1,474,293,742 × 1,474,293,742
  4. Step 4: Simplify right side
    959,583,337x = 2,173,542,037,700,362,496
  5. Step 5: Solve for x
    x = 2,173,542,037,700,362,496/959,583,337
  6. Step 6: Final answer
    x = 2,265,089,392.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.