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Finding the Third Proportional to 22,026,584.25 and 46,678,916.25

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Solution

The third proportional to 22,026,584.25 and 46,678,916.25 is: 98,922,338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,026,584.25 : 46,678,916.25 = 46,678,916.25 : x
  2. Step 2: Convert to fraction form
    22,026,584.25/46,678,916.25 = 46,678,916.25/x
  3. Step 3: Cross multiply
    22,026,584.25x = 46,678,916.25 × 46,678,916.25
  4. Step 4: Simplify right side
    22,026,584.25x = 2,178,921,222,274,514
  5. Step 5: Solve for x
    x = 2,178,921,222,274,514/22,026,584.25
  6. Step 6: Final answer
    x = 98,922,338.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.