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Finding the Third Proportional to 10,744,535,662.50 and 23,121,658,077

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Solution

The third proportional to 10,744,535,662.50 and 23,121,658,077 is: 49,756,554,310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744,535,662.50 : 23,121,658,077 = 23,121,658,077 : x
  2. Step 2: Convert to fraction form
    10,744,535,662.50/23,121,658,077 = 23,121,658,077/x
  3. Step 3: Cross multiply
    10,744,535,662.50x = 23,121,658,077 × 23,121,658,077
  4. Step 4: Simplify right side
    10,744,535,662.50x = 534,611,072,229,699,354,624
  5. Step 5: Solve for x
    x = 534,611,072,229,699,354,624/10,744,535,662.50
  6. Step 6: Final answer
    x = 49,756,554,310.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.