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Finding the Third Proportional to 5,224,766 and 11,321,428

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Solution

The third proportional to 5,224,766 and 11,321,428 is: 24,532,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224,766 : 11,321,428 = 11,321,428 : x
  2. Step 2: Convert to fraction form
    5,224,766/11,321,428 = 11,321,428/x
  3. Step 3: Cross multiply
    5,224,766x = 11,321,428 × 11,321,428
  4. Step 4: Simplify right side
    5,224,766x = 128,174,731,959,184
  5. Step 5: Solve for x
    x = 128,174,731,959,184/5,224,766
  6. Step 6: Final answer
    x = 24,532,147.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.