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Finding the Third Proportional to 10,531,095.75 and 14,786,664.75

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Solution

The third proportional to 10,531,095.75 and 14,786,664.75 is: 20,761,890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531,095.75 : 14,786,664.75 = 14,786,664.75 : x
  2. Step 2: Convert to fraction form
    10,531,095.75/14,786,664.75 = 14,786,664.75/x
  3. Step 3: Cross multiply
    10,531,095.75x = 14,786,664.75 × 14,786,664.75
  4. Step 4: Simplify right side
    10,531,095.75x = 218,645,454,428,892.56
  5. Step 5: Solve for x
    x = 218,645,454,428,892.56/10,531,095.75
  6. Step 6: Final answer
    x = 20,761,890.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.