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Finding the Third Proportional to 6,334,665 and 13,830,897

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Solution

The third proportional to 6,334,665 and 13,830,897 is: 30,197,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334,665 : 13,830,897 = 13,830,897 : x
  2. Step 2: Convert to fraction form
    6,334,665/13,830,897 = 13,830,897/x
  3. Step 3: Cross multiply
    6,334,665x = 13,830,897 × 13,830,897
  4. Step 4: Simplify right side
    6,334,665x = 191,293,711,824,609
  5. Step 5: Solve for x
    x = 191,293,711,824,609/6,334,665
  6. Step 6: Final answer
    x = 30,197,920.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.