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Finding the Third Proportional to 4,604,881.50 and 9,770,823

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Solution

The third proportional to 4,604,881.50 and 9,770,823 is: 20,732,125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604,881.50 : 9,770,823 = 9,770,823 : x
  2. Step 2: Convert to fraction form
    4,604,881.50/9,770,823 = 9,770,823/x
  3. Step 3: Cross multiply
    4,604,881.50x = 9,770,823 × 9,770,823
  4. Step 4: Simplify right side
    4,604,881.50x = 95,468,982,097,329
  5. Step 5: Solve for x
    x = 95,468,982,097,329/4,604,881.50
  6. Step 6: Final answer
    x = 20,732,125.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.