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Finding the Third Proportional to 46,877,825 and 102,831,974

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Solution

The third proportional to 46,877,825 and 102,831,974 is: 225,573,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,877,825 : 102,831,974 = 102,831,974 : x
  2. Step 2: Convert to fraction form
    46,877,825/102,831,974 = 102,831,974/x
  3. Step 3: Cross multiply
    46,877,825x = 102,831,974 × 102,831,974
  4. Step 4: Simplify right side
    46,877,825x = 10,574,414,876,736,676
  5. Step 5: Solve for x
    x = 10,574,414,876,736,676/46,877,825
  6. Step 6: Final answer
    x = 225,573,922.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.