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Finding the Third Proportional to 13,414,376 and 29,097,212

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Solution

The third proportional to 13,414,376 and 29,097,212 is: 63,114,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414,376 : 29,097,212 = 29,097,212 : x
  2. Step 2: Convert to fraction form
    13,414,376/29,097,212 = 29,097,212/x
  3. Step 3: Cross multiply
    13,414,376x = 29,097,212 × 29,097,212
  4. Step 4: Simplify right side
    13,414,376x = 846,647,746,172,944
  5. Step 5: Solve for x
    x = 846,647,746,172,944/13,414,376
  6. Step 6: Final answer
    x = 63,114,955.64

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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.