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Finding the Third Proportional to 1,170,834,268 and 2,545,734,104

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Solution

The third proportional to 1,170,834,268 and 2,545,734,104 is: 5,535,166,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170,834,268 : 2,545,734,104 = 2,545,734,104 : x
  2. Step 2: Convert to fraction form
    1,170,834,268/2,545,734,104 = 2,545,734,104/x
  3. Step 3: Cross multiply
    1,170,834,268x = 2,545,734,104 × 2,545,734,104
  4. Step 4: Simplify right side
    1,170,834,268x = 6,480,762,128,268,683,264
  5. Step 5: Solve for x
    x = 6,480,762,128,268,683,264/1,170,834,268
  6. Step 6: Final answer
    x = 5,535,166,082.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.