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Finding the Third Proportional to 14,510,176 and 34,205,006

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Solution

The third proportional to 14,510,176 and 34,205,006 is: 80,631,856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510,176 : 34,205,006 = 34,205,006 : x
  2. Step 2: Convert to fraction form
    14,510,176/34,205,006 = 34,205,006/x
  3. Step 3: Cross multiply
    14,510,176x = 34,205,006 × 34,205,006
  4. Step 4: Simplify right side
    14,510,176x = 1,169,982,435,460,036
  5. Step 5: Solve for x
    x = 1,169,982,435,460,036/14,510,176
  6. Step 6: Final answer
    x = 80,631,856.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.