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Finding the Third Proportional to 21,664,090,264 and 47,174,198,384

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Solution

The third proportional to 21,664,090,264 and 47,174,198,384 is: 102,723,214,594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664,090,264 : 47,174,198,384 = 47,174,198,384 : x
  2. Step 2: Convert to fraction form
    21,664,090,264/47,174,198,384 = 47,174,198,384/x
  3. Step 3: Cross multiply
    21,664,090,264x = 47,174,198,384 × 47,174,198,384
  4. Step 4: Simplify right side
    21,664,090,264x = 2,225,404,993,172,988,231,680
  5. Step 5: Solve for x
    x = 2,225,404,993,172,988,231,680/21,664,090,264
  6. Step 6: Final answer
    x = 102,723,214,594.02

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