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Finding the Third Proportional to 17,123,163,010 and 26,196,522,191

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Solution

The third proportional to 17,123,163,010 and 26,196,522,191 is: 40,077,745,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,123,163,010 : 26,196,522,191 = 26,196,522,191 : x
  2. Step 2: Convert to fraction form
    17,123,163,010/26,196,522,191 = 26,196,522,191/x
  3. Step 3: Cross multiply
    17,123,163,010x = 26,196,522,191 × 26,196,522,191
  4. Step 4: Simplify right side
    17,123,163,010x = 686,257,774,903,555,391,488
  5. Step 5: Solve for x
    x = 686,257,774,903,555,391,488/17,123,163,010
  6. Step 6: Final answer
    x = 40,077,745,829.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.