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Finding the Third Proportional to 17,018,280,606 and 26,142,162,861

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Solution

The third proportional to 17,018,280,606 and 26,142,162,861 is: 40,157,563,203.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,018,280,606 : 26,142,162,861 = 26,142,162,861 : x
  2. Step 2: Convert to fraction form
    17,018,280,606/26,142,162,861 = 26,142,162,861/x
  3. Step 3: Cross multiply
    17,018,280,606x = 26,142,162,861 × 26,142,162,861
  4. Step 4: Simplify right side
    17,018,280,606x = 683,412,679,051,047,731,200
  5. Step 5: Solve for x
    x = 683,412,679,051,047,731,200/17,018,280,606
  6. Step 6: Final answer
    x = 40,157,563,203.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.