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Finding the Third Proportional to 7,828,737 and 16,869,915.75

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Solution

The third proportional to 7,828,737 and 16,869,915.75 is: 36,352,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828,737 : 16,869,915.75 = 16,869,915.75 : x
  2. Step 2: Convert to fraction form
    7,828,737/16,869,915.75 = 16,869,915.75/x
  3. Step 3: Cross multiply
    7,828,737x = 16,869,915.75 × 16,869,915.75
  4. Step 4: Simplify right side
    7,828,737x = 284,594,057,412,098.06
  5. Step 5: Solve for x
    x = 284,594,057,412,098.06/7,828,737
  6. Step 6: Final answer
    x = 36,352,486.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.