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Finding the Third Proportional to 3,204,330,831,877 and 6,873,822,641,330

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Solution

The third proportional to 3,204,330,831,877 and 6,873,822,641,330 is: 14,745,492,954,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204,330,831,877 : 6,873,822,641,330 = 6,873,822,641,330 : x
  2. Step 2: Convert to fraction form
    3,204,330,831,877/6,873,822,641,330 = 6,873,822,641,330/x
  3. Step 3: Cross multiply
    3,204,330,831,877x = 6,873,822,641,330 × 6,873,822,641,330
  4. Step 4: Simplify right side
    3,204,330,831,877x = 47,249,437,704,460,936,021,016,576
  5. Step 5: Solve for x
    x = 47,249,437,704,460,936,021,016,576/3,204,330,831,877
  6. Step 6: Final answer
    x = 14,745,492,954,228.96

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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.