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Finding the Third Proportional to 9,750,460 and 20,760,632

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Solution

The third proportional to 9,750,460 and 20,760,632 is: 44,203,436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750,460 : 20,760,632 = 20,760,632 : x
  2. Step 2: Convert to fraction form
    9,750,460/20,760,632 = 20,760,632/x
  3. Step 3: Cross multiply
    9,750,460x = 20,760,632 × 20,760,632
  4. Step 4: Simplify right side
    9,750,460x = 431,003,841,039,424
  5. Step 5: Solve for x
    x = 431,003,841,039,424/9,750,460
  6. Step 6: Final answer
    x = 44,203,436.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.