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Finding the Third Proportional to 5,716,123,571.50 and 12,382,089,984

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Solution

The third proportional to 5,716,123,571.50 and 12,382,089,984 is: 26,821,700,135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716,123,571.50 : 12,382,089,984 = 12,382,089,984 : x
  2. Step 2: Convert to fraction form
    5,716,123,571.50/12,382,089,984 = 12,382,089,984/x
  3. Step 3: Cross multiply
    5,716,123,571.50x = 12,382,089,984 × 12,382,089,984
  4. Step 4: Simplify right side
    5,716,123,571.50x = 153,316,152,371,873,120,256
  5. Step 5: Solve for x
    x = 153,316,152,371,873,120,256/5,716,123,571.50
  6. Step 6: Final answer
    x = 26,821,700,135.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.