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Finding the Third Proportional to 14,487,075 and 31,490,131

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Solution

The third proportional to 14,487,075 and 31,490,131 is: 68,449,176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,487,075 : 31,490,131 = 31,490,131 : x
  2. Step 2: Convert to fraction form
    14,487,075/31,490,131 = 31,490,131/x
  3. Step 3: Cross multiply
    14,487,075x = 31,490,131 × 31,490,131
  4. Step 4: Simplify right side
    14,487,075x = 991,628,350,397,161
  5. Step 5: Solve for x
    x = 991,628,350,397,161/14,487,075
  6. Step 6: Final answer
    x = 68,449,176.28

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Why These Related Problems?

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