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Finding the Third Proportional to 3,430,738.50 and 7,459,074

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Solution

The third proportional to 3,430,738.50 and 7,459,074 is: 16,217,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430,738.50 : 7,459,074 = 7,459,074 : x
  2. Step 2: Convert to fraction form
    3,430,738.50/7,459,074 = 7,459,074/x
  3. Step 3: Cross multiply
    3,430,738.50x = 7,459,074 × 7,459,074
  4. Step 4: Simplify right side
    3,430,738.50x = 55,637,784,937,476
  5. Step 5: Solve for x
    x = 55,637,784,937,476/3,430,738.50
  6. Step 6: Final answer
    x = 16,217,436.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.