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Finding the Third Proportional to 10,683,915 and 25,195,213.50

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Solution

The third proportional to 10,683,915 and 25,195,213.50 is: 59,416,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683,915 : 25,195,213.50 = 25,195,213.50 : x
  2. Step 2: Convert to fraction form
    10,683,915/25,195,213.50 = 25,195,213.50/x
  3. Step 3: Cross multiply
    10,683,915x = 25,195,213.50 × 25,195,213.50
  4. Step 4: Simplify right side
    10,683,915x = 634,798,783,310,582.25
  5. Step 5: Solve for x
    x = 634,798,783,310,582.25/10,683,915
  6. Step 6: Final answer
    x = 59,416,307.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.