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Finding the Third Proportional to 6,195,124 and 13,286,642

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Solution

The third proportional to 6,195,124 and 13,286,642 is: 28,495,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195,124 : 13,286,642 = 13,286,642 : x
  2. Step 2: Convert to fraction form
    6,195,124/13,286,642 = 13,286,642/x
  3. Step 3: Cross multiply
    6,195,124x = 13,286,642 × 13,286,642
  4. Step 4: Simplify right side
    6,195,124x = 176,534,855,636,164
  5. Step 5: Solve for x
    x = 176,534,855,636,164/6,195,124
  6. Step 6: Final answer
    x = 28,495,774.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.