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Finding the Third Proportional to 26,162,519,762 and 57,390,159,892

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Solution

The third proportional to 26,162,519,762 and 57,390,159,892 is: 125,891,178,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,162,519,762 : 57,390,159,892 = 57,390,159,892 : x
  2. Step 2: Convert to fraction form
    26,162,519,762/57,390,159,892 = 57,390,159,892/x
  3. Step 3: Cross multiply
    26,162,519,762x = 57,390,159,892 × 57,390,159,892
  4. Step 4: Simplify right side
    26,162,519,762x = 3,293,630,452,429,325,598,720
  5. Step 5: Solve for x
    x = 3,293,630,452,429,325,598,720/26,162,519,762
  6. Step 6: Final answer
    x = 125,891,178,769.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.