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Finding the Third Proportional to 6,633,412 and 14,063,984

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Solution

The third proportional to 6,633,412 and 14,063,984 is: 29,818,085.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633,412 : 14,063,984 = 14,063,984 : x
  2. Step 2: Convert to fraction form
    6,633,412/14,063,984 = 14,063,984/x
  3. Step 3: Cross multiply
    6,633,412x = 14,063,984 × 14,063,984
  4. Step 4: Simplify right side
    6,633,412x = 197,795,645,952,256
  5. Step 5: Solve for x
    x = 197,795,645,952,256/6,633,412
  6. Step 6: Final answer
    x = 29,818,085.47

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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.