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Finding the Third Proportional to 59,203,295,634 and 127,842,569,826

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Solution

The third proportional to 59,203,295,634 and 127,842,569,826 is: 276,061,028,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,203,295,634 : 127,842,569,826 = 127,842,569,826 : x
  2. Step 2: Convert to fraction form
    59,203,295,634/127,842,569,826 = 127,842,569,826/x
  3. Step 3: Cross multiply
    59,203,295,634x = 127,842,569,826 × 127,842,569,826
  4. Step 4: Simplify right side
    59,203,295,634x = 16,343,722,659,715,685,023,744
  5. Step 5: Solve for x
    x = 16,343,722,659,715,685,023,744/59,203,295,634
  6. Step 6: Final answer
    x = 276,061,028,101.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.