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Finding the Third Proportional to 7,583,989.75 and 16,380,048.25

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Solution

The third proportional to 7,583,989.75 and 16,380,048.25 is: 35,377,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583,989.75 : 16,380,048.25 = 16,380,048.25 : x
  2. Step 2: Convert to fraction form
    7,583,989.75/16,380,048.25 = 16,380,048.25/x
  3. Step 3: Cross multiply
    7,583,989.75x = 16,380,048.25 × 16,380,048.25
  4. Step 4: Simplify right side
    7,583,989.75x = 268,305,980,672,328.06
  5. Step 5: Solve for x
    x = 268,305,980,672,328.06/7,583,989.75
  6. Step 6: Final answer
    x = 35,377,946.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.