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Finding the Third Proportional to 17,568,771,822 and 26,764,808,610

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Solution

The third proportional to 17,568,771,822 and 26,764,808,610 is: 40,774,334,551.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,568,771,822 : 26,764,808,610 = 26,764,808,610 : x
  2. Step 2: Convert to fraction form
    17,568,771,822/26,764,808,610 = 26,764,808,610/x
  3. Step 3: Cross multiply
    17,568,771,822x = 26,764,808,610 × 26,764,808,610
  4. Step 4: Simplify right side
    17,568,771,822x = 716,354,979,929,930,072,064
  5. Step 5: Solve for x
    x = 716,354,979,929,930,072,064/17,568,771,822
  6. Step 6: Final answer
    x = 40,774,334,551.54

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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.