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Finding the Third Proportional to 6,842,398 and 14,814,098

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Solution

The third proportional to 6,842,398 and 14,814,098 is: 32,073,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842,398 : 14,814,098 = 14,814,098 : x
  2. Step 2: Convert to fraction form
    6,842,398/14,814,098 = 14,814,098/x
  3. Step 3: Cross multiply
    6,842,398x = 14,814,098 × 14,814,098
  4. Step 4: Simplify right side
    6,842,398x = 219,457,499,553,604
  5. Step 5: Solve for x
    x = 219,457,499,553,604/6,842,398
  6. Step 6: Final answer
    x = 32,073,185.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.