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Finding the Third Proportional to 23,128,294,666 and 31,205,500,041

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Solution

The third proportional to 23,128,294,666 and 31,205,500,041 is: 42,103,546,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,128,294,666 : 31,205,500,041 = 31,205,500,041 : x
  2. Step 2: Convert to fraction form
    23,128,294,666/31,205,500,041 = 31,205,500,041/x
  3. Step 3: Cross multiply
    23,128,294,666x = 31,205,500,041 × 31,205,500,041
  4. Step 4: Simplify right side
    23,128,294,666x = 973,783,232,808,850,948,096
  5. Step 5: Solve for x
    x = 973,783,232,808,850,948,096/23,128,294,666
  6. Step 6: Final answer
    x = 42,103,546,624.23

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Why These Related Problems?

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