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Finding the Third Proportional to 922,193,904 and 1,976,185,176

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Solution

The third proportional to 922,193,904 and 1,976,185,176 is: 4,234,801,198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,193,904 : 1,976,185,176 = 1,976,185,176 : x
  2. Step 2: Convert to fraction form
    922,193,904/1,976,185,176 = 1,976,185,176/x
  3. Step 3: Cross multiply
    922,193,904x = 1,976,185,176 × 1,976,185,176
  4. Step 4: Simplify right side
    922,193,904x = 3,905,307,849,842,150,912
  5. Step 5: Solve for x
    x = 3,905,307,849,842,150,912/922,193,904
  6. Step 6: Final answer
    x = 4,234,801,198.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.