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Finding the Third Proportional to 7,023,175,534 and 10,147,275,767

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Solution

The third proportional to 7,023,175,534 and 10,147,275,767 is: 14,661,061,081.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023,175,534 : 10,147,275,767 = 10,147,275,767 : x
  2. Step 2: Convert to fraction form
    7,023,175,534/10,147,275,767 = 10,147,275,767/x
  3. Step 3: Cross multiply
    7,023,175,534x = 10,147,275,767 × 10,147,275,767
  4. Step 4: Simplify right side
    7,023,175,534x = 102,967,205,491,545,440,256
  5. Step 5: Solve for x
    x = 102,967,205,491,545,440,256/7,023,175,534
  6. Step 6: Final answer
    x = 14,661,061,081.71

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.