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Finding the Third Proportional to 4,099,341,457,937 and 8,537,982,917,098

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Solution

The third proportional to 4,099,341,457,937 and 8,537,982,917,098 is: 17,782,649,491,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099,341,457,937 : 8,537,982,917,098 = 8,537,982,917,098 : x
  2. Step 2: Convert to fraction form
    4,099,341,457,937/8,537,982,917,098 = 8,537,982,917,098/x
  3. Step 3: Cross multiply
    4,099,341,457,937x = 8,537,982,917,098 × 8,537,982,917,098
  4. Step 4: Simplify right side
    4,099,341,457,937x = 72,897,152,292,657,277,427,515,392
  5. Step 5: Solve for x
    x = 72,897,152,292,657,277,427,515,392/4,099,341,457,937
  6. Step 6: Final answer
    x = 17,782,649,491,546.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.