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Finding the Third Proportional to 10,523,976 and 15,743,052

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Solution

The third proportional to 10,523,976 and 15,743,052 is: 23,550,384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523,976 : 15,743,052 = 15,743,052 : x
  2. Step 2: Convert to fraction form
    10,523,976/15,743,052 = 15,743,052/x
  3. Step 3: Cross multiply
    10,523,976x = 15,743,052 × 15,743,052
  4. Step 4: Simplify right side
    10,523,976x = 247,843,686,274,704
  5. Step 5: Solve for x
    x = 247,843,686,274,704/10,523,976
  6. Step 6: Final answer
    x = 23,550,384.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.