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Finding the Third Proportional to 9,046,282.50 and 19,509,741

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Solution

The third proportional to 9,046,282.50 and 19,509,741 is: 42,075,846.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046,282.50 : 19,509,741 = 19,509,741 : x
  2. Step 2: Convert to fraction form
    9,046,282.50/19,509,741 = 19,509,741/x
  3. Step 3: Cross multiply
    9,046,282.50x = 19,509,741 × 19,509,741
  4. Step 4: Simplify right side
    9,046,282.50x = 380,629,993,887,081
  5. Step 5: Solve for x
    x = 380,629,993,887,081/9,046,282.50
  6. Step 6: Final answer
    x = 42,075,846.50

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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.