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Finding the Third Proportional to 6,733,363.50 and 10,447,416

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Solution

The third proportional to 6,733,363.50 and 10,447,416 is: 16,210,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733,363.50 : 10,447,416 = 10,447,416 : x
  2. Step 2: Convert to fraction form
    6,733,363.50/10,447,416 = 10,447,416/x
  3. Step 3: Cross multiply
    6,733,363.50x = 10,447,416 × 10,447,416
  4. Step 4: Simplify right side
    6,733,363.50x = 109,148,501,077,056
  5. Step 5: Solve for x
    x = 109,148,501,077,056/6,733,363.50
  6. Step 6: Final answer
    x = 16,210,100.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.