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Finding the Third Proportional to 14,082,025 and 30,185,109

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Solution

The third proportional to 14,082,025 and 30,185,109 is: 64,702,399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082,025 : 30,185,109 = 30,185,109 : x
  2. Step 2: Convert to fraction form
    14,082,025/30,185,109 = 30,185,109/x
  3. Step 3: Cross multiply
    14,082,025x = 30,185,109 × 30,185,109
  4. Step 4: Simplify right side
    14,082,025x = 911,140,805,341,881
  5. Step 5: Solve for x
    x = 911,140,805,341,881/14,082,025
  6. Step 6: Final answer
    x = 64,702,399.36

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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.