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Finding the Third Proportional to 1,906,392,832 and 4,113,893,120

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Solution

The third proportional to 1,906,392,832 and 4,113,893,120 is: 8,877,559,922.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906,392,832 : 4,113,893,120 = 4,113,893,120 : x
  2. Step 2: Convert to fraction form
    1,906,392,832/4,113,893,120 = 4,113,893,120/x
  3. Step 3: Cross multiply
    1,906,392,832x = 4,113,893,120 × 4,113,893,120
  4. Step 4: Simplify right side
    1,906,392,832x = 16,924,116,602,783,334,400
  5. Step 5: Solve for x
    x = 16,924,116,602,783,334,400/1,906,392,832
  6. Step 6: Final answer
    x = 8,877,559,922.96

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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.