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Finding the Third Proportional to 6,195,096 and 13,286,588

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Solution

The third proportional to 6,195,096 and 13,286,588 is: 28,495,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195,096 : 13,286,588 = 13,286,588 : x
  2. Step 2: Convert to fraction form
    6,195,096/13,286,588 = 13,286,588/x
  3. Step 3: Cross multiply
    6,195,096x = 13,286,588 × 13,286,588
  4. Step 4: Simplify right side
    6,195,096x = 176,533,420,681,744
  5. Step 5: Solve for x
    x = 176,533,420,681,744/6,195,096
  6. Step 6: Final answer
    x = 28,495,671.52

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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.