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Finding the Third Proportional to 9,451,840 and 20,733,632

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Solution

The third proportional to 9,451,840 and 20,733,632 is: 45,481,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451,840 : 20,733,632 = 20,733,632 : x
  2. Step 2: Convert to fraction form
    9,451,840/20,733,632 = 20,733,632/x
  3. Step 3: Cross multiply
    9,451,840x = 20,733,632 × 20,733,632
  4. Step 4: Simplify right side
    9,451,840x = 429,883,495,911,424
  5. Step 5: Solve for x
    x = 429,883,495,911,424/9,451,840
  6. Step 6: Final answer
    x = 45,481,461.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.