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Finding the Third Proportional to 9,485,024 and 20,813,566

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Solution

The third proportional to 9,485,024 and 20,813,566 is: 45,672,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485,024 : 20,813,566 = 20,813,566 : x
  2. Step 2: Convert to fraction form
    9,485,024/20,813,566 = 20,813,566/x
  3. Step 3: Cross multiply
    9,485,024x = 20,813,566 × 20,813,566
  4. Step 4: Simplify right side
    9,485,024x = 433,204,529,636,356
  5. Step 5: Solve for x
    x = 433,204,529,636,356/9,485,024
  6. Step 6: Final answer
    x = 45,672,475.86

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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.