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Finding the Third Proportional to 9,663,279 and 20,839,688

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Solution

The third proportional to 9,663,279 and 20,839,688 is: 44,942,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663,279 : 20,839,688 = 20,839,688 : x
  2. Step 2: Convert to fraction form
    9,663,279/20,839,688 = 20,839,688/x
  3. Step 3: Cross multiply
    9,663,279x = 20,839,688 × 20,839,688
  4. Step 4: Simplify right side
    9,663,279x = 434,292,595,937,344
  5. Step 5: Solve for x
    x = 434,292,595,937,344/9,663,279
  6. Step 6: Final answer
    x = 44,942,570.32

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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.