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Finding the Third Proportional to 21,537,443.25 and 46,102,311

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Solution

The third proportional to 21,537,443.25 and 46,102,311 is: 98,685,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537,443.25 : 46,102,311 = 46,102,311 : x
  2. Step 2: Convert to fraction form
    21,537,443.25/46,102,311 = 46,102,311/x
  3. Step 3: Cross multiply
    21,537,443.25x = 46,102,311 × 46,102,311
  4. Step 4: Simplify right side
    21,537,443.25x = 2,125,423,079,540,721
  5. Step 5: Solve for x
    x = 2,125,423,079,540,721/21,537,443.25
  6. Step 6: Final answer
    x = 98,685,022.86

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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.