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Finding the Third Proportional to 6,134,351 and 12,903,297

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Solution

The third proportional to 6,134,351 and 12,903,297 is: 27,141,432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134,351 : 12,903,297 = 12,903,297 : x
  2. Step 2: Convert to fraction form
    6,134,351/12,903,297 = 12,903,297/x
  3. Step 3: Cross multiply
    6,134,351x = 12,903,297 × 12,903,297
  4. Step 4: Simplify right side
    6,134,351x = 166,495,073,470,209
  5. Step 5: Solve for x
    x = 166,495,073,470,209/6,134,351
  6. Step 6: Final answer
    x = 27,141,432.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.