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Finding the Third Proportional to 2,585,783,942 and 3,697,675,440

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Solution

The third proportional to 2,585,783,942 and 3,697,675,440 is: 5,287,682,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585,783,942 : 3,697,675,440 = 3,697,675,440 : x
  2. Step 2: Convert to fraction form
    2,585,783,942/3,697,675,440 = 3,697,675,440/x
  3. Step 3: Cross multiply
    2,585,783,942x = 3,697,675,440 × 3,697,675,440
  4. Step 4: Simplify right side
    2,585,783,942x = 13,672,803,659,579,193,344
  5. Step 5: Solve for x
    x = 13,672,803,659,579,193,344/2,585,783,942
  6. Step 6: Final answer
    x = 5,287,682,175.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.