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Finding the Third Proportional to 9,657,224 and 20,882,536

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Solution

The third proportional to 9,657,224 and 20,882,536 is: 45,155,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,224 : 20,882,536 = 20,882,536 : x
  2. Step 2: Convert to fraction form
    9,657,224/20,882,536 = 20,882,536/x
  3. Step 3: Cross multiply
    9,657,224x = 20,882,536 × 20,882,536
  4. Step 4: Simplify right side
    9,657,224x = 436,080,309,791,296
  5. Step 5: Solve for x
    x = 436,080,309,791,296/9,657,224
  6. Step 6: Final answer
    x = 45,155,865.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.