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Finding the Third Proportional to 1,905,568,530 and 4,127,708,658

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Solution

The third proportional to 1,905,568,530 and 4,127,708,658 is: 8,941,152,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,568,530 : 4,127,708,658 = 4,127,708,658 : x
  2. Step 2: Convert to fraction form
    1,905,568,530/4,127,708,658 = 4,127,708,658/x
  3. Step 3: Cross multiply
    1,905,568,530x = 4,127,708,658 × 4,127,708,658
  4. Step 4: Simplify right side
    1,905,568,530x = 17,037,978,765,328,160,768
  5. Step 5: Solve for x
    x = 17,037,978,765,328,160,768/1,905,568,530
  6. Step 6: Final answer
    x = 8,941,152,468.20

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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.