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Finding the Third Proportional to 8,948,022.75 and 13,997,849.63

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Solution

The third proportional to 8,948,022.75 and 13,997,849.63 is: 21,897,552.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948,022.75 : 13,997,849.63 = 13,997,849.63 : x
  2. Step 2: Convert to fraction form
    8,948,022.75/13,997,849.63 = 13,997,849.63/x
  3. Step 3: Cross multiply
    8,948,022.75x = 13,997,849.63 × 13,997,849.63
  4. Step 4: Simplify right side
    8,948,022.75x = 195,939,794,124,112.62
  5. Step 5: Solve for x
    x = 195,939,794,124,112.62/8,948,022.75
  6. Step 6: Final answer
    x = 21,897,552.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.