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Finding the Third Proportional to 2,568,219,376 and 3,935,230,488

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Solution

The third proportional to 2,568,219,376 and 3,935,230,488 is: 6,029,873,903.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568,219,376 : 3,935,230,488 = 3,935,230,488 : x
  2. Step 2: Convert to fraction form
    2,568,219,376/3,935,230,488 = 3,935,230,488/x
  3. Step 3: Cross multiply
    2,568,219,376x = 3,935,230,488 × 3,935,230,488
  4. Step 4: Simplify right side
    2,568,219,376x = 15,486,038,993,684,717,568
  5. Step 5: Solve for x
    x = 15,486,038,993,684,717,568/2,568,219,376
  6. Step 6: Final answer
    x = 6,029,873,903.45

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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.