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Finding the Third Proportional to 21,182,023,155 and 46,087,320,831

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Solution

The third proportional to 21,182,023,155 and 46,087,320,831 is: 100,275,650,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182,023,155 : 46,087,320,831 = 46,087,320,831 : x
  2. Step 2: Convert to fraction form
    21,182,023,155/46,087,320,831 = 46,087,320,831/x
  3. Step 3: Cross multiply
    21,182,023,155x = 46,087,320,831 × 46,087,320,831
  4. Step 4: Simplify right side
    21,182,023,155x = 2,124,041,141,379,526,557,696
  5. Step 5: Solve for x
    x = 2,124,041,141,379,526,557,696/21,182,023,155
  6. Step 6: Final answer
    x = 100,275,650,056.50

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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.