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Finding the Third Proportional to 4,823,523 and 7,678,084.50

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Solution

The third proportional to 4,823,523 and 7,678,084.50 is: 12,221,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823,523 : 7,678,084.50 = 7,678,084.50 : x
  2. Step 2: Convert to fraction form
    4,823,523/7,678,084.50 = 7,678,084.50/x
  3. Step 3: Cross multiply
    4,823,523x = 7,678,084.50 × 7,678,084.50
  4. Step 4: Simplify right side
    4,823,523x = 58,952,981,589,140.25
  5. Step 5: Solve for x
    x = 58,952,981,589,140.25/4,823,523
  6. Step 6: Final answer
    x = 12,221,975.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.