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Finding the Third Proportional to 14,576,800 and 31,891,135

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Solution

The third proportional to 14,576,800 and 31,891,135 is: 69,771,451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576,800 : 31,891,135 = 31,891,135 : x
  2. Step 2: Convert to fraction form
    14,576,800/31,891,135 = 31,891,135/x
  3. Step 3: Cross multiply
    14,576,800x = 31,891,135 × 31,891,135
  4. Step 4: Simplify right side
    14,576,800x = 1,017,044,491,588,225
  5. Step 5: Solve for x
    x = 1,017,044,491,588,225/14,576,800
  6. Step 6: Final answer
    x = 69,771,451.32

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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.