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Finding the Third Proportional to 55,570,588,532 and 74,977,770,966

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Solution

The third proportional to 55,570,588,532 and 74,977,770,966 is: 101,162,616,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,570,588,532 : 74,977,770,966 = 74,977,770,966 : x
  2. Step 2: Convert to fraction form
    55,570,588,532/74,977,770,966 = 74,977,770,966/x
  3. Step 3: Cross multiply
    55,570,588,532x = 74,977,770,966 × 74,977,770,966
  4. Step 4: Simplify right side
    55,570,588,532x = 5,621,666,139,029,952,790,528
  5. Step 5: Solve for x
    x = 5,621,666,139,029,952,790,528/55,570,588,532
  6. Step 6: Final answer
    x = 101,162,616,548.37

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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.