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Finding the Third Proportional to 4,351,002.75 and 9,220,663.69

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Solution

The third proportional to 4,351,002.75 and 9,220,663.69 is: 19,540,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,351,002.75 : 9,220,663.69 = 9,220,663.69 : x
  2. Step 2: Convert to fraction form
    4,351,002.75/9,220,663.69 = 9,220,663.69/x
  3. Step 3: Cross multiply
    4,351,002.75x = 9,220,663.69 × 9,220,663.69
  4. Step 4: Simplify right side
    4,351,002.75x = 85,020,638,837,981.09
  5. Step 5: Solve for x
    x = 85,020,638,837,981.09/4,351,002.75
  6. Step 6: Final answer
    x = 19,540,470.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.