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Finding the Third Proportional to 9,084,775.50 and 13,963,947.75

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Solution

The third proportional to 9,084,775.50 and 13,963,947.75 is: 21,463,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084,775.50 : 13,963,947.75 = 13,963,947.75 : x
  2. Step 2: Convert to fraction form
    9,084,775.50/13,963,947.75 = 13,963,947.75/x
  3. Step 3: Cross multiply
    9,084,775.50x = 13,963,947.75 × 13,963,947.75
  4. Step 4: Simplify right side
    9,084,775.50x = 194,991,836,764,730.06
  5. Step 5: Solve for x
    x = 194,991,836,764,730.06/9,084,775.50
  6. Step 6: Final answer
    x = 21,463,583.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.