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Finding the Third Proportional to 56,938,097,554 and 122,445,183,006

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Solution

The third proportional to 56,938,097,554 and 122,445,183,006 is: 263,317,945,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,938,097,554 : 122,445,183,006 = 122,445,183,006 : x
  2. Step 2: Convert to fraction form
    56,938,097,554/122,445,183,006 = 122,445,183,006/x
  3. Step 3: Cross multiply
    56,938,097,554x = 122,445,183,006 × 122,445,183,006
  4. Step 4: Simplify right side
    56,938,097,554x = 14,992,822,841,372,831,645,696
  5. Step 5: Solve for x
    x = 14,992,822,841,372,831,645,696/56,938,097,554
  6. Step 6: Final answer
    x = 263,317,945,021.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.