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Finding the Third Proportional to 2,412,775.13 and 5,303,742.75

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Solution

The third proportional to 2,412,775.13 and 5,303,742.75 is: 11,658,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412,775.13 : 5,303,742.75 = 5,303,742.75 : x
  2. Step 2: Convert to fraction form
    2,412,775.13/5,303,742.75 = 5,303,742.75/x
  3. Step 3: Cross multiply
    2,412,775.13x = 5,303,742.75 × 5,303,742.75
  4. Step 4: Simplify right side
    2,412,775.13x = 28,129,687,158,177.56
  5. Step 5: Solve for x
    x = 28,129,687,158,177.56/2,412,775.13
  6. Step 6: Final answer
    x = 11,658,644.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.