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Finding the Third Proportional to 13,669,896 and 19,225,808

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Solution

The third proportional to 13,669,896 and 19,225,808 is: 27,039,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669,896 : 19,225,808 = 19,225,808 : x
  2. Step 2: Convert to fraction form
    13,669,896/19,225,808 = 19,225,808/x
  3. Step 3: Cross multiply
    13,669,896x = 19,225,808 × 19,225,808
  4. Step 4: Simplify right side
    13,669,896x = 369,631,693,252,864
  5. Step 5: Solve for x
    x = 369,631,693,252,864/13,669,896
  6. Step 6: Final answer
    x = 27,039,832.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.