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Finding the Third Proportional to 3,098,630 and 6,711,824

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Solution

The third proportional to 3,098,630 and 6,711,824 is: 14,538,225.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098,630 : 6,711,824 = 6,711,824 : x
  2. Step 2: Convert to fraction form
    3,098,630/6,711,824 = 6,711,824/x
  3. Step 3: Cross multiply
    3,098,630x = 6,711,824 × 6,711,824
  4. Step 4: Simplify right side
    3,098,630x = 45,048,581,406,976
  5. Step 5: Solve for x
    x = 45,048,581,406,976/3,098,630
  6. Step 6: Final answer
    x = 14,538,225.41

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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.