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Finding the Third Proportional to 6,457,374 and 14,174,271

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Solution

The third proportional to 6,457,374 and 14,174,271 is: 31,113,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,374 : 14,174,271 = 14,174,271 : x
  2. Step 2: Convert to fraction form
    6,457,374/14,174,271 = 14,174,271/x
  3. Step 3: Cross multiply
    6,457,374x = 14,174,271 × 14,174,271
  4. Step 4: Simplify right side
    6,457,374x = 200,909,958,381,441
  5. Step 5: Solve for x
    x = 200,909,958,381,441/6,457,374
  6. Step 6: Final answer
    x = 31,113,260.34

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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.