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Finding the Third Proportional to 6,859,189 and 14,629,358

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Solution

The third proportional to 6,859,189 and 14,629,358 is: 31,201,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859,189 : 14,629,358 = 14,629,358 : x
  2. Step 2: Convert to fraction form
    6,859,189/14,629,358 = 14,629,358/x
  3. Step 3: Cross multiply
    6,859,189x = 14,629,358 × 14,629,358
  4. Step 4: Simplify right side
    6,859,189x = 214,018,115,492,164
  5. Step 5: Solve for x
    x = 214,018,115,492,164/6,859,189
  6. Step 6: Final answer
    x = 31,201,664.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.