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Finding the Third Proportional to 24,971,284,614.50 and 36,079,194,005

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Solution

The third proportional to 24,971,284,614.50 and 36,079,194,005 is: 52,128,204,861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,971,284,614.50 : 36,079,194,005 = 36,079,194,005 : x
  2. Step 2: Convert to fraction form
    24,971,284,614.50/36,079,194,005 = 36,079,194,005/x
  3. Step 3: Cross multiply
    24,971,284,614.50x = 36,079,194,005 × 36,079,194,005
  4. Step 4: Simplify right side
    24,971,284,614.50x = 1,301,708,240,050,428,051,456
  5. Step 5: Solve for x
    x = 1,301,708,240,050,428,051,456/24,971,284,614.50
  6. Step 6: Final answer
    x = 52,128,204,861.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.