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Finding the Third Proportional to 4,180,048.88 and 6,460,286.63

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Solution

The third proportional to 4,180,048.88 and 6,460,286.63 is: 9,984,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180,048.88 : 6,460,286.63 = 6,460,286.63 : x
  2. Step 2: Convert to fraction form
    4,180,048.88/6,460,286.63 = 6,460,286.63/x
  3. Step 3: Cross multiply
    4,180,048.88x = 6,460,286.63 × 6,460,286.63
  4. Step 4: Simplify right side
    4,180,048.88x = 41,735,303,277,153.89
  5. Step 5: Solve for x
    x = 41,735,303,277,153.89/4,180,048.88
  6. Step 6: Final answer
    x = 9,984,405.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.