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Finding the Third Proportional to 6,457,035 and 14,173,624

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Solution

The third proportional to 6,457,035 and 14,173,624 is: 31,112,053.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,035 : 14,173,624 = 14,173,624 : x
  2. Step 2: Convert to fraction form
    6,457,035/14,173,624 = 14,173,624/x
  3. Step 3: Cross multiply
    6,457,035x = 14,173,624 × 14,173,624
  4. Step 4: Simplify right side
    6,457,035x = 200,891,617,293,376
  5. Step 5: Solve for x
    x = 200,891,617,293,376/6,457,035
  6. Step 6: Final answer
    x = 31,112,053.33

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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.