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Finding the Third Proportional to 1,844,589,864 and 3,983,102,676

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Solution

The third proportional to 1,844,589,864 and 3,983,102,676 is: 8,600,885,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844,589,864 : 3,983,102,676 = 3,983,102,676 : x
  2. Step 2: Convert to fraction form
    1,844,589,864/3,983,102,676 = 3,983,102,676/x
  3. Step 3: Cross multiply
    1,844,589,864x = 3,983,102,676 × 3,983,102,676
  4. Step 4: Simplify right side
    1,844,589,864x = 15,865,106,927,558,361,088
  5. Step 5: Solve for x
    x = 15,865,106,927,558,361,088/1,844,589,864
  6. Step 6: Final answer
    x = 8,600,885,886.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.