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Finding the Third Proportional to 6,430,860 and 14,157,112

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Solution

The third proportional to 6,430,860 and 14,157,112 is: 31,165,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,860 : 14,157,112 = 14,157,112 : x
  2. Step 2: Convert to fraction form
    6,430,860/14,157,112 = 14,157,112/x
  3. Step 3: Cross multiply
    6,430,860x = 14,157,112 × 14,157,112
  4. Step 4: Simplify right side
    6,430,860x = 200,423,820,180,544
  5. Step 5: Solve for x
    x = 200,423,820,180,544/6,430,860
  6. Step 6: Final answer
    x = 31,165,943.62

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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.