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Finding the Third Proportional to 5,938,384 and 12,716,576

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Solution

The third proportional to 5,938,384 and 12,716,576 is: 27,231,533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938,384 : 12,716,576 = 12,716,576 : x
  2. Step 2: Convert to fraction form
    5,938,384/12,716,576 = 12,716,576/x
  3. Step 3: Cross multiply
    5,938,384x = 12,716,576 × 12,716,576
  4. Step 4: Simplify right side
    5,938,384x = 161,711,305,163,776
  5. Step 5: Solve for x
    x = 161,711,305,163,776/5,938,384
  6. Step 6: Final answer
    x = 27,231,533.89

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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.