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Finding the Third Proportional to 13,978,176 and 29,899,440

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Solution

The third proportional to 13,978,176 and 29,899,440 is: 63,955,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978,176 : 29,899,440 = 29,899,440 : x
  2. Step 2: Convert to fraction form
    13,978,176/29,899,440 = 29,899,440/x
  3. Step 3: Cross multiply
    13,978,176x = 29,899,440 × 29,899,440
  4. Step 4: Simplify right side
    13,978,176x = 893,976,512,313,600
  5. Step 5: Solve for x
    x = 893,976,512,313,600/13,978,176
  6. Step 6: Final answer
    x = 63,955,162.13

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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.