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Finding the Third Proportional to 2,339,492,558 and 5,138,176,492

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Solution

The third proportional to 2,339,492,558 and 5,138,176,492 is: 11,284,864,990.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339,492,558 : 5,138,176,492 = 5,138,176,492 : x
  2. Step 2: Convert to fraction form
    2,339,492,558/5,138,176,492 = 5,138,176,492/x
  3. Step 3: Cross multiply
    2,339,492,558x = 5,138,176,492 × 5,138,176,492
  4. Step 4: Simplify right side
    2,339,492,558x = 26,400,857,662,941,425,664
  5. Step 5: Solve for x
    x = 26,400,857,662,941,425,664/2,339,492,558
  6. Step 6: Final answer
    x = 11,284,864,990.34

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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.