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Finding the Third Proportional to 9,983,792 and 14,267,098

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Solution

The third proportional to 9,983,792 and 14,267,098 is: 20,388,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983,792 : 14,267,098 = 14,267,098 : x
  2. Step 2: Convert to fraction form
    9,983,792/14,267,098 = 14,267,098/x
  3. Step 3: Cross multiply
    9,983,792x = 14,267,098 × 14,267,098
  4. Step 4: Simplify right side
    9,983,792x = 203,550,085,341,604
  5. Step 5: Solve for x
    x = 203,550,085,341,604/9,983,792
  6. Step 6: Final answer
    x = 20,388,053.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.