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Finding the Third Proportional to 35,980,844,678,172 and 54,814,328,013,852

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Solution

The third proportional to 35,980,844,678,172 and 54,814,328,013,852 is: 83,505,837,133,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980,844,678,172 : 54,814,328,013,852 = 54,814,328,013,852 : x
  2. Step 2: Convert to fraction form
    35,980,844,678,172/54,814,328,013,852 = 54,814,328,013,852/x
  3. Step 3: Cross multiply
    35,980,844,678,172x = 54,814,328,013,852 × 54,814,328,013,852
  4. Step 4: Simplify right side
    35,980,844,678,172x = 3,004,610,555,610,160,347,301,806,080
  5. Step 5: Solve for x
    x = 3,004,610,555,610,160,347,301,806,080/35,980,844,678,172
  6. Step 6: Final answer
    x = 83,505,837,133,193.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.