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Finding the Third Proportional to 6,176,494 and 8,910,406.50

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Solution

The third proportional to 6,176,494 and 8,910,406.50 is: 12,854,435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176,494 : 8,910,406.50 = 8,910,406.50 : x
  2. Step 2: Convert to fraction form
    6,176,494/8,910,406.50 = 8,910,406.50/x
  3. Step 3: Cross multiply
    6,176,494x = 8,910,406.50 × 8,910,406.50
  4. Step 4: Simplify right side
    6,176,494x = 79,395,343,995,242.25
  5. Step 5: Solve for x
    x = 79,395,343,995,242.25/6,176,494
  6. Step 6: Final answer
    x = 12,854,435.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.