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Finding the Third Proportional to 5,986,411.31 and 13,131,644.06

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Solution

The third proportional to 5,986,411.31 and 13,131,644.06 is: 28,805,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986,411.31 : 13,131,644.06 = 13,131,644.06 : x
  2. Step 2: Convert to fraction form
    5,986,411.31/13,131,644.06 = 13,131,644.06/x
  3. Step 3: Cross multiply
    5,986,411.31x = 13,131,644.06 × 13,131,644.06
  4. Step 4: Simplify right side
    5,986,411.31x = 172,440,075,784,191.50
  5. Step 5: Solve for x
    x = 172,440,075,784,191.50/5,986,411.31
  6. Step 6: Final answer
    x = 28,805,250.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.