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Finding the Third Proportional to 21,131,228,690 and 46,059,335,965

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Solution

The third proportional to 21,131,228,690 and 46,059,335,965 is: 100,394,655,732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,131,228,690 : 46,059,335,965 = 46,059,335,965 : x
  2. Step 2: Convert to fraction form
    21,131,228,690/46,059,335,965 = 46,059,335,965/x
  3. Step 3: Cross multiply
    21,131,228,690x = 46,059,335,965 × 46,059,335,965
  4. Step 4: Simplify right side
    21,131,228,690x = 2,121,462,429,536,742,539,264
  5. Step 5: Solve for x
    x = 2,121,462,429,536,742,539,264/21,131,228,690
  6. Step 6: Final answer
    x = 100,394,655,732.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.