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Finding the Third Proportional to 5,090,507 and 10,978,045

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Solution

The third proportional to 5,090,507 and 10,978,045 is: 23,674,944.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090,507 : 10,978,045 = 10,978,045 : x
  2. Step 2: Convert to fraction form
    5,090,507/10,978,045 = 10,978,045/x
  3. Step 3: Cross multiply
    5,090,507x = 10,978,045 × 10,978,045
  4. Step 4: Simplify right side
    5,090,507x = 120,517,472,022,025
  5. Step 5: Solve for x
    x = 120,517,472,022,025/5,090,507
  6. Step 6: Final answer
    x = 23,674,944.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.