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Finding the Third Proportional to 2,427,201,008 and 5,326,844,668

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Solution

The third proportional to 2,427,201,008 and 5,326,844,668 is: 11,690,533,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427,201,008 : 5,326,844,668 = 5,326,844,668 : x
  2. Step 2: Convert to fraction form
    2,427,201,008/5,326,844,668 = 5,326,844,668/x
  3. Step 3: Cross multiply
    2,427,201,008x = 5,326,844,668 × 5,326,844,668
  4. Step 4: Simplify right side
    2,427,201,008x = 28,375,274,117,000,032,256
  5. Step 5: Solve for x
    x = 28,375,274,117,000,032,256/2,427,201,008
  6. Step 6: Final answer
    x = 11,690,533,261.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.