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Finding the Third Proportional to 10,966,245.75 and 16,075,270.13

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Solution

The third proportional to 10,966,245.75 and 16,075,270.13 is: 23,564,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966,245.75 : 16,075,270.13 = 16,075,270.13 : x
  2. Step 2: Convert to fraction form
    10,966,245.75/16,075,270.13 = 16,075,270.13/x
  3. Step 3: Cross multiply
    10,966,245.75x = 16,075,270.13 × 16,075,270.13
  4. Step 4: Simplify right side
    10,966,245.75x = 258,414,309,591,717.50
  5. Step 5: Solve for x
    x = 258,414,309,591,717.50/10,966,245.75
  6. Step 6: Final answer
    x = 23,564,519.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.