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Finding the Third Proportional to 4,273,592,710 and 9,416,635,190

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Solution

The third proportional to 4,273,592,710 and 9,416,635,190 is: 20,749,056,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273,592,710 : 9,416,635,190 = 9,416,635,190 : x
  2. Step 2: Convert to fraction form
    4,273,592,710/9,416,635,190 = 9,416,635,190/x
  3. Step 3: Cross multiply
    4,273,592,710x = 9,416,635,190 × 9,416,635,190
  4. Step 4: Simplify right side
    4,273,592,710x = 88,673,018,301,546,332,160
  5. Step 5: Solve for x
    x = 88,673,018,301,546,332,160/4,273,592,710
  6. Step 6: Final answer
    x = 20,749,056,898.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.