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Finding the Third Proportional to 6,867,837,520 and 14,876,620,520

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Solution

The third proportional to 6,867,837,520 and 14,876,620,520 is: 32,224,675,882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867,837,520 : 14,876,620,520 = 14,876,620,520 : x
  2. Step 2: Convert to fraction form
    6,867,837,520/14,876,620,520 = 14,876,620,520/x
  3. Step 3: Cross multiply
    6,867,837,520x = 14,876,620,520 × 14,876,620,520
  4. Step 4: Simplify right side
    6,867,837,520x = 221,313,838,096,085,057,536
  5. Step 5: Solve for x
    x = 221,313,838,096,085,057,536/6,867,837,520
  6. Step 6: Final answer
    x = 32,224,675,882.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.