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Finding the Third Proportional to 49,762,684,910 and 109,668,589,798

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Solution

The third proportional to 49,762,684,910 and 109,668,589,798 is: 241,691,130,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762,684,910 : 109,668,589,798 = 109,668,589,798 : x
  2. Step 2: Convert to fraction form
    49,762,684,910/109,668,589,798 = 109,668,589,798/x
  3. Step 3: Cross multiply
    49,762,684,910x = 109,668,589,798 × 109,668,589,798
  4. Step 4: Simplify right side
    49,762,684,910x = 12,027,199,588,281,989,726,208
  5. Step 5: Solve for x
    x = 12,027,199,588,281,989,726,208/49,762,684,910
  6. Step 6: Final answer
    x = 241,691,130,814.87

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Why These Related Problems?

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