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Finding the Third Proportional to 6,196,014 and 13,421,376

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Solution

The third proportional to 6,196,014 and 13,421,376 is: 29,072,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196,014 : 13,421,376 = 13,421,376 : x
  2. Step 2: Convert to fraction form
    6,196,014/13,421,376 = 13,421,376/x
  3. Step 3: Cross multiply
    6,196,014x = 13,421,376 × 13,421,376
  4. Step 4: Simplify right side
    6,196,014x = 180,133,333,733,376
  5. Step 5: Solve for x
    x = 180,133,333,733,376/6,196,014
  6. Step 6: Final answer
    x = 29,072,454.28

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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.