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Finding the Third Proportional to 21,182,023,161 and 46,087,320,843

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Solution

The third proportional to 21,182,023,161 and 46,087,320,843 is: 100,275,650,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182,023,161 : 46,087,320,843 = 46,087,320,843 : x
  2. Step 2: Convert to fraction form
    21,182,023,161/46,087,320,843 = 46,087,320,843/x
  3. Step 3: Cross multiply
    21,182,023,161x = 46,087,320,843 × 46,087,320,843
  4. Step 4: Simplify right side
    21,182,023,161x = 2,124,041,142,485,622,194,176
  5. Step 5: Solve for x
    x = 2,124,041,142,485,622,194,176/21,182,023,161
  6. Step 6: Final answer
    x = 100,275,650,080.32

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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.