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Finding the Third Proportional to 9,795,498 and 22,874,154

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Solution

The third proportional to 9,795,498 and 22,874,154 is: 53,415,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795,498 : 22,874,154 = 22,874,154 : x
  2. Step 2: Convert to fraction form
    9,795,498/22,874,154 = 22,874,154/x
  3. Step 3: Cross multiply
    9,795,498x = 22,874,154 × 22,874,154
  4. Step 4: Simplify right side
    9,795,498x = 523,226,921,215,716
  5. Step 5: Solve for x
    x = 523,226,921,215,716/9,795,498
  6. Step 6: Final answer
    x = 53,415,040.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.