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Finding the Third Proportional to 2,219,498,125 and 4,829,718,568

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Solution

The third proportional to 2,219,498,125 and 4,829,718,568 is: 10,509,664,857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219,498,125 : 4,829,718,568 = 4,829,718,568 : x
  2. Step 2: Convert to fraction form
    2,219,498,125/4,829,718,568 = 4,829,718,568/x
  3. Step 3: Cross multiply
    2,219,498,125x = 4,829,718,568 × 4,829,718,568
  4. Step 4: Simplify right side
    2,219,498,125x = 23,326,181,446,083,969,024
  5. Step 5: Solve for x
    x = 23,326,181,446,083,969,024/2,219,498,125
  6. Step 6: Final answer
    x = 10,509,664,857.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.