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Finding the Third Proportional to 4,591,311.75 and 10,009,329.75

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Solution

The third proportional to 4,591,311.75 and 10,009,329.75 is: 21,820,927.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591,311.75 : 10,009,329.75 = 10,009,329.75 : x
  2. Step 2: Convert to fraction form
    4,591,311.75/10,009,329.75 = 10,009,329.75/x
  3. Step 3: Cross multiply
    4,591,311.75x = 10,009,329.75 × 10,009,329.75
  4. Step 4: Simplify right side
    4,591,311.75x = 100,186,682,044,235.06
  5. Step 5: Solve for x
    x = 100,186,682,044,235.06/4,591,311.75
  6. Step 6: Final answer
    x = 21,820,927.77

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Why These Related Problems?

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