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Finding the Third Proportional to 6,025,006 and 9,178,685

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Solution

The third proportional to 6,025,006 and 9,178,685 is: 13,983,099.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,025,006 : 9,178,685 = 9,178,685 : x
  2. Step 2: Convert to fraction form
    6,025,006/9,178,685 = 9,178,685/x
  3. Step 3: Cross multiply
    6,025,006x = 9,178,685 × 9,178,685
  4. Step 4: Simplify right side
    6,025,006x = 84,248,258,329,225
  5. Step 5: Solve for x
    x = 84,248,258,329,225/6,025,006
  6. Step 6: Final answer
    x = 13,983,099.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.