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Finding the Third Proportional to 14,576,731 and 33,745,982

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Solution

The third proportional to 14,576,731 and 33,745,982 is: 78,123,915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576,731 : 33,745,982 = 33,745,982 : x
  2. Step 2: Convert to fraction form
    14,576,731/33,745,982 = 33,745,982/x
  3. Step 3: Cross multiply
    14,576,731x = 33,745,982 × 33,745,982
  4. Step 4: Simplify right side
    14,576,731x = 1,138,791,301,144,324
  5. Step 5: Solve for x
    x = 1,138,791,301,144,324/14,576,731
  6. Step 6: Final answer
    x = 78,123,915.52

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.