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Finding the Third Proportional to 1,034,164,380 and 2,211,655,992

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Solution

The third proportional to 1,034,164,380 and 2,211,655,992 is: 4,729,830,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,164,380 : 2,211,655,992 = 2,211,655,992 : x
  2. Step 2: Convert to fraction form
    1,034,164,380/2,211,655,992 = 2,211,655,992/x
  3. Step 3: Cross multiply
    1,034,164,380x = 2,211,655,992 × 2,211,655,992
  4. Step 4: Simplify right side
    1,034,164,380x = 4,891,422,226,949,504,000
  5. Step 5: Solve for x
    x = 4,891,422,226,949,504,000/1,034,164,380
  6. Step 6: Final answer
    x = 4,729,830,500.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.