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Finding the Third Proportional to 2,536,265,238 and 5,143,844,490

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Solution

The third proportional to 2,536,265,238 and 5,143,844,490 is: 10,432,322,195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536,265,238 : 5,143,844,490 = 5,143,844,490 : x
  2. Step 2: Convert to fraction form
    2,536,265,238/5,143,844,490 = 5,143,844,490/x
  3. Step 3: Cross multiply
    2,536,265,238x = 5,143,844,490 × 5,143,844,490
  4. Step 4: Simplify right side
    2,536,265,238x = 26,459,136,137,303,359,488
  5. Step 5: Solve for x
    x = 26,459,136,137,303,359,488/2,536,265,238
  6. Step 6: Final answer
    x = 10,432,322,195.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.