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Finding the Third Proportional to 7,507,734.75 and 16,391,639.25

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Solution

The third proportional to 7,507,734.75 and 16,391,639.25 is: 35,787,870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507,734.75 : 16,391,639.25 = 16,391,639.25 : x
  2. Step 2: Convert to fraction form
    7,507,734.75/16,391,639.25 = 16,391,639.25/x
  3. Step 3: Cross multiply
    7,507,734.75x = 16,391,639.25 × 16,391,639.25
  4. Step 4: Simplify right side
    7,507,734.75x = 268,685,837,302,140.56
  5. Step 5: Solve for x
    x = 268,685,837,302,140.56/7,507,734.75
  6. Step 6: Final answer
    x = 35,787,870.28

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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.