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Finding the Third Proportional to 538,808,144 and 1,163,836,576

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Solution

The third proportional to 538,808,144 and 1,163,836,576 is: 2,513,910,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,808,144 : 1,163,836,576 = 1,163,836,576 : x
  2. Step 2: Convert to fraction form
    538,808,144/1,163,836,576 = 1,163,836,576/x
  3. Step 3: Cross multiply
    538,808,144x = 1,163,836,576 × 1,163,836,576
  4. Step 4: Simplify right side
    538,808,144x = 1,354,515,575,635,403,776
  5. Step 5: Solve for x
    x = 1,354,515,575,635,403,776/538,808,144
  6. Step 6: Final answer
    x = 2,513,910,731.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.