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Finding the Third Proportional to 6,197,734 and 13,492,940

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Solution

The third proportional to 6,197,734 and 13,492,940 is: 29,375,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197,734 : 13,492,940 = 13,492,940 : x
  2. Step 2: Convert to fraction form
    6,197,734/13,492,940 = 13,492,940/x
  3. Step 3: Cross multiply
    6,197,734x = 13,492,940 × 13,492,940
  4. Step 4: Simplify right side
    6,197,734x = 182,059,429,843,600
  5. Step 5: Solve for x
    x = 182,059,429,843,600/6,197,734
  6. Step 6: Final answer
    x = 29,375,160.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.