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Finding the Third Proportional to 9,761,628 and 14,283,109

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Solution

The third proportional to 9,761,628 and 14,283,109 is: 20,898,891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761,628 : 14,283,109 = 14,283,109 : x
  2. Step 2: Convert to fraction form
    9,761,628/14,283,109 = 14,283,109/x
  3. Step 3: Cross multiply
    9,761,628x = 14,283,109 × 14,283,109
  4. Step 4: Simplify right side
    9,761,628x = 204,007,202,705,881
  5. Step 5: Solve for x
    x = 204,007,202,705,881/9,761,628
  6. Step 6: Final answer
    x = 20,898,891.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.