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Finding the Third Proportional to 23,128,294,676 and 31,205,500,052

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Solution

The third proportional to 23,128,294,676 and 31,205,500,052 is: 42,103,546,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,128,294,676 : 31,205,500,052 = 31,205,500,052 : x
  2. Step 2: Convert to fraction form
    23,128,294,676/31,205,500,052 = 31,205,500,052/x
  3. Step 3: Cross multiply
    23,128,294,676x = 31,205,500,052 × 31,205,500,052
  4. Step 4: Simplify right side
    23,128,294,676x = 973,783,233,495,372,005,376
  5. Step 5: Solve for x
    x = 973,783,233,495,372,005,376/23,128,294,676
  6. Step 6: Final answer
    x = 42,103,546,635.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.