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Finding the Third Proportional to 13,978,082 and 29,899,240

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Solution

The third proportional to 13,978,082 and 29,899,240 is: 63,954,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978,082 : 29,899,240 = 29,899,240 : x
  2. Step 2: Convert to fraction form
    13,978,082/29,899,240 = 29,899,240/x
  3. Step 3: Cross multiply
    13,978,082x = 29,899,240 × 29,899,240
  4. Step 4: Simplify right side
    13,978,082x = 893,964,552,577,600
  5. Step 5: Solve for x
    x = 893,964,552,577,600/13,978,082
  6. Step 6: Final answer
    x = 63,954,736.61

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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.