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Finding the Third Proportional to 3,204,330,831,886 and 6,873,822,641,341.60

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Solution

The third proportional to 3,204,330,831,886 and 6,873,822,641,341.60 is: 14,745,492,954,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204,330,831,886 : 6,873,822,641,341.60 = 6,873,822,641,341.60 : x
  2. Step 2: Convert to fraction form
    3,204,330,831,886/6,873,822,641,341.60 = 6,873,822,641,341.60/x
  3. Step 3: Cross multiply
    3,204,330,831,886x = 6,873,822,641,341.60 × 6,873,822,641,341.60
  4. Step 4: Simplify right side
    3,204,330,831,886x = 47,249,437,704,620,408,156,717,056
  5. Step 5: Solve for x
    x = 47,249,437,704,620,408,156,717,056/3,204,330,831,886
  6. Step 6: Final answer
    x = 14,745,492,954,237.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.