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Finding the Third Proportional to 6,134,343 and 12,903,274.50

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Solution

The third proportional to 6,134,343 and 12,903,274.50 is: 27,141,373.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134,343 : 12,903,274.50 = 12,903,274.50 : x
  2. Step 2: Convert to fraction form
    6,134,343/12,903,274.50 = 12,903,274.50/x
  3. Step 3: Cross multiply
    6,134,343x = 12,903,274.50 × 12,903,274.50
  4. Step 4: Simplify right side
    6,134,343x = 166,494,492,822,350.25
  5. Step 5: Solve for x
    x = 166,494,492,822,350.25/6,134,343
  6. Step 6: Final answer
    x = 27,141,373.22

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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.