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Finding the Third Proportional to 7,457,214 and 16,337,256

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Solution

The third proportional to 7,457,214 and 16,337,256 is: 35,791,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457,214 : 16,337,256 = 16,337,256 : x
  2. Step 2: Convert to fraction form
    7,457,214/16,337,256 = 16,337,256/x
  3. Step 3: Cross multiply
    7,457,214x = 16,337,256 × 16,337,256
  4. Step 4: Simplify right side
    7,457,214x = 266,905,933,609,536
  5. Step 5: Solve for x
    x = 266,905,933,609,536/7,457,214
  6. Step 6: Final answer
    x = 35,791,641.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.