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Finding the Third Proportional to 9,372,096 and 20,462,688

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Solution

The third proportional to 9,372,096 and 20,462,688 is: 44,677,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,372,096 : 20,462,688 = 20,462,688 : x
  2. Step 2: Convert to fraction form
    9,372,096/20,462,688 = 20,462,688/x
  3. Step 3: Cross multiply
    9,372,096x = 20,462,688 × 20,462,688
  4. Step 4: Simplify right side
    9,372,096x = 418,721,600,185,344
  5. Step 5: Solve for x
    x = 418,721,600,185,344/9,372,096
  6. Step 6: Final answer
    x = 44,677,476.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.