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Finding the Third Proportional to 5,273,479,760 and 11,272,210,002

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Solution

The third proportional to 5,273,479,760 and 11,272,210,002 is: 24,094,663,127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273,479,760 : 11,272,210,002 = 11,272,210,002 : x
  2. Step 2: Convert to fraction form
    5,273,479,760/11,272,210,002 = 11,272,210,002/x
  3. Step 3: Cross multiply
    5,273,479,760x = 11,272,210,002 × 11,272,210,002
  4. Step 4: Simplify right side
    5,273,479,760x = 127,062,718,329,188,843,520
  5. Step 5: Solve for x
    x = 127,062,718,329,188,843,520/5,273,479,760
  6. Step 6: Final answer
    x = 24,094,663,127.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.