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Finding the Third Proportional to 5,831,443.69 and 12,725,735.06

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Solution

The third proportional to 5,831,443.69 and 12,725,735.06 is: 27,770,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831,443.69 : 12,725,735.06 = 12,725,735.06 : x
  2. Step 2: Convert to fraction form
    5,831,443.69/12,725,735.06 = 12,725,735.06/x
  3. Step 3: Cross multiply
    5,831,443.69x = 12,725,735.06 × 12,725,735.06
  4. Step 4: Simplify right side
    5,831,443.69x = 161,944,332,880,941.88
  5. Step 5: Solve for x
    x = 161,944,332,880,941.88/5,831,443.69
  6. Step 6: Final answer
    x = 27,770,881.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.