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Finding the Third Proportional to 9,240,863,264 and 20,175,093,900

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Solution

The third proportional to 9,240,863,264 and 20,175,093,900 is: 44,047,228,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240,863,264 : 20,175,093,900 = 20,175,093,900 : x
  2. Step 2: Convert to fraction form
    9,240,863,264/20,175,093,900 = 20,175,093,900/x
  3. Step 3: Cross multiply
    9,240,863,264x = 20,175,093,900 × 20,175,093,900
  4. Step 4: Simplify right side
    9,240,863,264x = 407,034,413,873,817,190,400
  5. Step 5: Solve for x
    x = 407,034,413,873,817,190,400/9,240,863,264
  6. Step 6: Final answer
    x = 44,047,228,299.49

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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.