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Finding the Third Proportional to 49,762,684,434 and 109,668,588,807

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Solution

The third proportional to 49,762,684,434 and 109,668,588,807 is: 241,691,128,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762,684,434 : 109,668,588,807 = 109,668,588,807 : x
  2. Step 2: Convert to fraction form
    49,762,684,434/109,668,588,807 = 109,668,588,807/x
  3. Step 3: Cross multiply
    49,762,684,434x = 109,668,588,807 × 109,668,588,807
  4. Step 4: Simplify right side
    49,762,684,434x = 12,027,199,370,918,845,480,960
  5. Step 5: Solve for x
    x = 12,027,199,370,918,845,480,960/49,762,684,434
  6. Step 6: Final answer
    x = 241,691,128,758.75

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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.