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Finding the Third Proportional to 2,400,342 and 5,666,235

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Solution

The third proportional to 2,400,342 and 5,666,235 is: 13,375,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400,342 : 5,666,235 = 5,666,235 : x
  2. Step 2: Convert to fraction form
    2,400,342/5,666,235 = 5,666,235/x
  3. Step 3: Cross multiply
    2,400,342x = 5,666,235 × 5,666,235
  4. Step 4: Simplify right side
    2,400,342x = 32,106,219,075,225
  5. Step 5: Solve for x
    x = 32,106,219,075,225/2,400,342
  6. Step 6: Final answer
    x = 13,375,685.25

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.