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Finding the Third Proportional to 10,849,531.50 and 23,209,092

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Solution

The third proportional to 10,849,531.50 and 23,209,092 is: 49,648,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849,531.50 : 23,209,092 = 23,209,092 : x
  2. Step 2: Convert to fraction form
    10,849,531.50/23,209,092 = 23,209,092/x
  3. Step 3: Cross multiply
    10,849,531.50x = 23,209,092 × 23,209,092
  4. Step 4: Simplify right side
    10,849,531.50x = 538,661,951,464,464
  5. Step 5: Solve for x
    x = 538,661,951,464,464/10,849,531.50
  6. Step 6: Final answer
    x = 49,648,406.61

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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.