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Finding the Third Proportional to 11,808,384 and 19,282,024

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Solution

The third proportional to 11,808,384 and 19,282,024 is: 31,485,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808,384 : 19,282,024 = 19,282,024 : x
  2. Step 2: Convert to fraction form
    11,808,384/19,282,024 = 19,282,024/x
  3. Step 3: Cross multiply
    11,808,384x = 19,282,024 × 19,282,024
  4. Step 4: Simplify right side
    11,808,384x = 371,796,449,536,576
  5. Step 5: Solve for x
    x = 371,796,449,536,576/11,808,384
  6. Step 6: Final answer
    x = 31,485,802.76

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.