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Finding the Third Proportional to 21,498,150,816 and 47,128,786,849

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Solution

The third proportional to 21,498,150,816 and 47,128,786,849 is: 103,316,911,713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498,150,816 : 47,128,786,849 = 47,128,786,849 : x
  2. Step 2: Convert to fraction form
    21,498,150,816/47,128,786,849 = 47,128,786,849/x
  3. Step 3: Cross multiply
    21,498,150,816x = 47,128,786,849 × 47,128,786,849
  4. Step 4: Simplify right side
    21,498,150,816x = 2,221,122,549,858,475,442,176
  5. Step 5: Solve for x
    x = 2,221,122,549,858,475,442,176/21,498,150,816
  6. Step 6: Final answer
    x = 103,316,911,713.42

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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.