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Finding the Third Proportional to 12,576,384 and 26,945,784

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Solution

The third proportional to 12,576,384 and 26,945,784 is: 57,733,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576,384 : 26,945,784 = 26,945,784 : x
  2. Step 2: Convert to fraction form
    12,576,384/26,945,784 = 26,945,784/x
  3. Step 3: Cross multiply
    12,576,384x = 26,945,784 × 26,945,784
  4. Step 4: Simplify right side
    12,576,384x = 726,075,275,374,656
  5. Step 5: Solve for x
    x = 726,075,275,374,656/12,576,384
  6. Step 6: Final answer
    x = 57,733,230.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.