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Finding the Third Proportional to 6,180,747 and 9,092,431.50

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Solution

The third proportional to 6,180,747 and 9,092,431.50 is: 13,375,779.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180,747 : 9,092,431.50 = 9,092,431.50 : x
  2. Step 2: Convert to fraction form
    6,180,747/9,092,431.50 = 9,092,431.50/x
  3. Step 3: Cross multiply
    6,180,747x = 9,092,431.50 × 9,092,431.50
  4. Step 4: Simplify right side
    6,180,747x = 82,672,310,582,192.25
  5. Step 5: Solve for x
    x = 82,672,310,582,192.25/6,180,747
  6. Step 6: Final answer
    x = 13,375,779.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.