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Finding the Third Proportional to 9,629,496 and 19,595,295

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Solution

The third proportional to 9,629,496 and 19,595,295 is: 39,874,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629,496 : 19,595,295 = 19,595,295 : x
  2. Step 2: Convert to fraction form
    9,629,496/19,595,295 = 19,595,295/x
  3. Step 3: Cross multiply
    9,629,496x = 19,595,295 × 19,595,295
  4. Step 4: Simplify right side
    9,629,496x = 383,975,586,137,025
  5. Step 5: Solve for x
    x = 383,975,586,137,025/9,629,496
  6. Step 6: Final answer
    x = 39,874,941.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.