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Finding the Third Proportional to 55,570,588,538 and 74,977,770,972

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Solution

The third proportional to 55,570,588,538 and 74,977,770,972 is: 101,162,616,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,570,588,538 : 74,977,770,972 = 74,977,770,972 : x
  2. Step 2: Convert to fraction form
    55,570,588,538/74,977,770,972 = 74,977,770,972/x
  3. Step 3: Cross multiply
    55,570,588,538x = 74,977,770,972 × 74,977,770,972
  4. Step 4: Simplify right side
    55,570,588,538x = 5,621,666,139,929,685,524,480
  5. Step 5: Solve for x
    x = 5,621,666,139,929,685,524,480/55,570,588,538
  6. Step 6: Final answer
    x = 101,162,616,553.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.