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Finding the Third Proportional to 6,457,392 and 14,174,278

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Solution

The third proportional to 6,457,392 and 14,174,278 is: 31,113,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,392 : 14,174,278 = 14,174,278 : x
  2. Step 2: Convert to fraction form
    6,457,392/14,174,278 = 14,174,278/x
  3. Step 3: Cross multiply
    6,457,392x = 14,174,278 × 14,174,278
  4. Step 4: Simplify right side
    6,457,392x = 200,910,156,821,284
  5. Step 5: Solve for x
    x = 200,910,156,821,284/6,457,392
  6. Step 6: Final answer
    x = 31,113,204.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.