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Finding the Third Proportional to 1,292,597,692 and 2,047,111,172

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Solution

The third proportional to 1,292,597,692 and 2,047,111,172 is: 3,242,048,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,597,692 : 2,047,111,172 = 2,047,111,172 : x
  2. Step 2: Convert to fraction form
    1,292,597,692/2,047,111,172 = 2,047,111,172/x
  3. Step 3: Cross multiply
    1,292,597,692x = 2,047,111,172 × 2,047,111,172
  4. Step 4: Simplify right side
    1,292,597,692x = 4,190,664,150,527,213,568
  5. Step 5: Solve for x
    x = 4,190,664,150,527,213,568/1,292,597,692
  6. Step 6: Final answer
    x = 3,242,048,300.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.