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Finding the Third Proportional to 5,208,651.84 and 11,425,784.06

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Solution

The third proportional to 5,208,651.84 and 11,425,784.06 is: 25,063,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208,651.84 : 11,425,784.06 = 11,425,784.06 : x
  2. Step 2: Convert to fraction form
    5,208,651.84/11,425,784.06 = 11,425,784.06/x
  3. Step 3: Cross multiply
    5,208,651.84x = 11,425,784.06 × 11,425,784.06
  4. Step 4: Simplify right side
    5,208,651.84x = 130,548,541,442,879
  5. Step 5: Solve for x
    x = 130,548,541,442,879/5,208,651.84
  6. Step 6: Final answer
    x = 25,063,787.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.