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Finding the Third Proportional to 13,704,844 and 19,282,362

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Solution

The third proportional to 13,704,844 and 19,282,362 is: 27,129,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704,844 : 19,282,362 = 19,282,362 : x
  2. Step 2: Convert to fraction form
    13,704,844/19,282,362 = 19,282,362/x
  3. Step 3: Cross multiply
    13,704,844x = 19,282,362 × 19,282,362
  4. Step 4: Simplify right side
    13,704,844x = 371,809,484,299,044
  5. Step 5: Solve for x
    x = 371,809,484,299,044/13,704,844
  6. Step 6: Final answer
    x = 27,129,785.96

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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.