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Finding the Third Proportional to 21,680,842.50 and 46,934,104.50

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Solution

The third proportional to 21,680,842.50 and 46,934,104.50 is: 101,601,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680,842.50 : 46,934,104.50 = 46,934,104.50 : x
  2. Step 2: Convert to fraction form
    21,680,842.50/46,934,104.50 = 46,934,104.50/x
  3. Step 3: Cross multiply
    21,680,842.50x = 46,934,104.50 × 46,934,104.50
  4. Step 4: Simplify right side
    21,680,842.50x = 2,202,810,165,216,920.25
  5. Step 5: Solve for x
    x = 2,202,810,165,216,920.25/21,680,842.50
  6. Step 6: Final answer
    x = 101,601,686.61

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Why These Related Problems?

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