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Finding the Third Proportional to 6,457,419 and 14,174,358

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Solution

The third proportional to 6,457,419 and 14,174,358 is: 31,113,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,419 : 14,174,358 = 14,174,358 : x
  2. Step 2: Convert to fraction form
    6,457,419/14,174,358 = 14,174,358/x
  3. Step 3: Cross multiply
    6,457,419x = 14,174,358 × 14,174,358
  4. Step 4: Simplify right side
    6,457,419x = 200,912,424,712,164
  5. Step 5: Solve for x
    x = 200,912,424,712,164/6,457,419
  6. Step 6: Final answer
    x = 31,113,425.46

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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.