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Finding the Third Proportional to 6,732,186 and 14,428,842

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Solution

The third proportional to 6,732,186 and 14,428,842 is: 30,924,796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732,186 : 14,428,842 = 14,428,842 : x
  2. Step 2: Convert to fraction form
    6,732,186/14,428,842 = 14,428,842/x
  3. Step 3: Cross multiply
    6,732,186x = 14,428,842 × 14,428,842
  4. Step 4: Simplify right side
    6,732,186x = 208,191,481,460,964
  5. Step 5: Solve for x
    x = 208,191,481,460,964/6,732,186
  6. Step 6: Final answer
    x = 30,924,796.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.