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Finding the Third Proportional to 21,521,124 and 46,442,016

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Solution

The third proportional to 21,521,124 and 46,442,016 is: 100,220,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,521,124 : 46,442,016 = 46,442,016 : x
  2. Step 2: Convert to fraction form
    21,521,124/46,442,016 = 46,442,016/x
  3. Step 3: Cross multiply
    21,521,124x = 46,442,016 × 46,442,016
  4. Step 4: Simplify right side
    21,521,124x = 2,156,860,850,144,256
  5. Step 5: Solve for x
    x = 2,156,860,850,144,256/21,521,124
  6. Step 6: Final answer
    x = 100,220,641.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.