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Finding the Third Proportional to 11,983,320 and 26,208,576

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Solution

The third proportional to 11,983,320 and 26,208,576 is: 57,320,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983,320 : 26,208,576 = 26,208,576 : x
  2. Step 2: Convert to fraction form
    11,983,320/26,208,576 = 26,208,576/x
  3. Step 3: Cross multiply
    11,983,320x = 26,208,576 × 26,208,576
  4. Step 4: Simplify right side
    11,983,320x = 686,889,455,947,776
  5. Step 5: Solve for x
    x = 686,889,455,947,776/11,983,320
  6. Step 6: Final answer
    x = 57,320,463.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.