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Finding the Third Proportional to 4,099,341,062,696 and 8,537,982,173,883

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Solution

The third proportional to 4,099,341,062,696 and 8,537,982,173,883 is: 17,782,648,110,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099,341,062,696 : 8,537,982,173,883 = 8,537,982,173,883 : x
  2. Step 2: Convert to fraction form
    4,099,341,062,696/8,537,982,173,883 = 8,537,982,173,883/x
  3. Step 3: Cross multiply
    4,099,341,062,696x = 8,537,982,173,883 × 8,537,982,173,883
  4. Step 4: Simplify right side
    4,099,341,062,696x = 72,897,139,601,543,875,736,371,200
  5. Step 5: Solve for x
    x = 72,897,139,601,543,875,736,371,200/4,099,341,062,696
  6. Step 6: Final answer
    x = 17,782,648,110,182.34

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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.