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Finding the Third Proportional to 12,366,720 and 19,624,896

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Solution

The third proportional to 12,366,720 and 19,624,896 is: 31,142,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366,720 : 19,624,896 = 19,624,896 : x
  2. Step 2: Convert to fraction form
    12,366,720/19,624,896 = 19,624,896/x
  3. Step 3: Cross multiply
    12,366,720x = 19,624,896 × 19,624,896
  4. Step 4: Simplify right side
    12,366,720x = 385,136,543,010,816
  5. Step 5: Solve for x
    x = 385,136,543,010,816/12,366,720
  6. Step 6: Final answer
    x = 31,142,982.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.