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Finding the Third Proportional to 10,346,684 and 15,663,167

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Solution

The third proportional to 10,346,684 and 15,663,167 is: 23,711,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346,684 : 15,663,167 = 15,663,167 : x
  2. Step 2: Convert to fraction form
    10,346,684/15,663,167 = 15,663,167/x
  3. Step 3: Cross multiply
    10,346,684x = 15,663,167 × 15,663,167
  4. Step 4: Simplify right side
    10,346,684x = 245,334,800,469,889
  5. Step 5: Solve for x
    x = 245,334,800,469,889/10,346,684
  6. Step 6: Final answer
    x = 23,711,442.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.