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Finding the Third Proportional to 3,204,330,831,875 and 6,873,822,641,324.40

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Solution

The third proportional to 3,204,330,831,875 and 6,873,822,641,324.40 is: 14,745,492,954,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204,330,831,875 : 6,873,822,641,324.40 = 6,873,822,641,324.40 : x
  2. Step 2: Convert to fraction form
    3,204,330,831,875/6,873,822,641,324.40 = 6,873,822,641,324.40/x
  3. Step 3: Cross multiply
    3,204,330,831,875x = 6,873,822,641,324.40 × 6,873,822,641,324.40
  4. Step 4: Simplify right side
    3,204,330,831,875x = 47,249,437,704,383,953,027,203,072
  5. Step 5: Solve for x
    x = 47,249,437,704,383,953,027,203,072/3,204,330,831,875
  6. Step 6: Final answer
    x = 14,745,492,954,214.14

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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.