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Finding the Third Proportional to 2,146,075.31 and 4,664,896.31

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Solution

The third proportional to 2,146,075.31 and 4,664,896.31 is: 10,140,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,075.31 : 4,664,896.31 = 4,664,896.31 : x
  2. Step 2: Convert to fraction form
    2,146,075.31/4,664,896.31 = 4,664,896.31/x
  3. Step 3: Cross multiply
    2,146,075.31x = 4,664,896.31 × 4,664,896.31
  4. Step 4: Simplify right side
    2,146,075.31x = 21,761,257,606,376.10
  5. Step 5: Solve for x
    x = 21,761,257,606,376.10/2,146,075.31
  6. Step 6: Final answer
    x = 10,140,025.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.