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Finding the Third Proportional to 4,407,527,589,554 and 9,588,885,467,567

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Solution

The third proportional to 4,407,527,589,554 and 9,588,885,467,567 is: 20,861,293,013,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407,527,589,554 : 9,588,885,467,567 = 9,588,885,467,567 : x
  2. Step 2: Convert to fraction form
    4,407,527,589,554/9,588,885,467,567 = 9,588,885,467,567/x
  3. Step 3: Cross multiply
    4,407,527,589,554x = 9,588,885,467,567 × 9,588,885,467,567
  4. Step 4: Simplify right side
    4,407,527,589,554x = 91,946,724,510,117,602,369,994,752
  5. Step 5: Solve for x
    x = 91,946,724,510,117,602,369,994,752/4,407,527,589,554
  6. Step 6: Final answer
    x = 20,861,293,013,351.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.