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Finding the Third Proportional to 49,762,684,426.50 and 109,668,588,791.62

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Solution

The third proportional to 49,762,684,426.50 and 109,668,588,791.62 is: 241,691,128,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762,684,426.50 : 109,668,588,791.62 = 109,668,588,791.62 : x
  2. Step 2: Convert to fraction form
    49,762,684,426.50/109,668,588,791.62 = 109,668,588,791.62/x
  3. Step 3: Cross multiply
    49,762,684,426.50x = 109,668,588,791.62 × 109,668,588,791.62
  4. Step 4: Simplify right side
    49,762,684,426.50x = 12,027,199,367,545,438,076,928
  5. Step 5: Solve for x
    x = 12,027,199,367,545,438,076,928/49,762,684,426.50
  6. Step 6: Final answer
    x = 241,691,128,727.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.