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Finding the Third Proportional to 11,397,024 and 17,075,731.50

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Solution

The third proportional to 11,397,024 and 17,075,731.50 is: 25,583,924.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397,024 : 17,075,731.50 = 17,075,731.50 : x
  2. Step 2: Convert to fraction form
    11,397,024/17,075,731.50 = 17,075,731.50/x
  3. Step 3: Cross multiply
    11,397,024x = 17,075,731.50 × 17,075,731.50
  4. Step 4: Simplify right side
    11,397,024x = 291,580,606,260,092.25
  5. Step 5: Solve for x
    x = 291,580,606,260,092.25/11,397,024
  6. Step 6: Final answer
    x = 25,583,924.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.