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Finding the Third Proportional to 4,243,549.50 and 8,683,200

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Solution

The third proportional to 4,243,549.50 and 8,683,200 is: 17,767,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243,549.50 : 8,683,200 = 8,683,200 : x
  2. Step 2: Convert to fraction form
    4,243,549.50/8,683,200 = 8,683,200/x
  3. Step 3: Cross multiply
    4,243,549.50x = 8,683,200 × 8,683,200
  4. Step 4: Simplify right side
    4,243,549.50x = 75,397,962,240,000
  5. Step 5: Solve for x
    x = 75,397,962,240,000/4,243,549.50
  6. Step 6: Final answer
    x = 17,767,664.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.