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Finding the Third Proportional to 49,762,684,440 and 109,668,588,822

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Solution

The third proportional to 49,762,684,440 and 109,668,588,822 is: 241,691,128,795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,762,684,440 : 109,668,588,822 = 109,668,588,822 : x
  2. Step 2: Convert to fraction form
    49,762,684,440/109,668,588,822 = 109,668,588,822/x
  3. Step 3: Cross multiply
    49,762,684,440x = 109,668,588,822 × 109,668,588,822
  4. Step 4: Simplify right side
    49,762,684,440x = 12,027,199,374,208,903,675,904
  5. Step 5: Solve for x
    x = 12,027,199,374,208,903,675,904/49,762,684,440
  6. Step 6: Final answer
    x = 241,691,128,795.72

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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.