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Finding the Third Proportional to 6,633,011 and 14,063,143

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Solution

The third proportional to 6,633,011 and 14,063,143 is: 29,816,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633,011 : 14,063,143 = 14,063,143 : x
  2. Step 2: Convert to fraction form
    6,633,011/14,063,143 = 14,063,143/x
  3. Step 3: Cross multiply
    6,633,011x = 14,063,143 × 14,063,143
  4. Step 4: Simplify right side
    6,633,011x = 197,771,991,038,449
  5. Step 5: Solve for x
    x = 197,771,991,038,449/6,633,011
  6. Step 6: Final answer
    x = 29,816,321.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.