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Finding the Third Proportional to 2,339,492,550 and 5,138,176,476

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Solution

The third proportional to 2,339,492,550 and 5,138,176,476 is: 11,284,864,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339,492,550 : 5,138,176,476 = 5,138,176,476 : x
  2. Step 2: Convert to fraction form
    2,339,492,550/5,138,176,476 = 5,138,176,476/x
  3. Step 3: Cross multiply
    2,339,492,550x = 5,138,176,476 × 5,138,176,476
  4. Step 4: Simplify right side
    2,339,492,550x = 26,400,857,498,519,777,280
  5. Step 5: Solve for x
    x = 26,400,857,498,519,777,280/2,339,492,550
  6. Step 6: Final answer
    x = 11,284,864,958.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.