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Finding the Third Proportional to 8,314,951.50 and 17,779,005

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Solution

The third proportional to 8,314,951.50 and 17,779,005 is: 38,015,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314,951.50 : 17,779,005 = 17,779,005 : x
  2. Step 2: Convert to fraction form
    8,314,951.50/17,779,005 = 17,779,005/x
  3. Step 3: Cross multiply
    8,314,951.50x = 17,779,005 × 17,779,005
  4. Step 4: Simplify right side
    8,314,951.50x = 316,093,018,790,025
  5. Step 5: Solve for x
    x = 316,093,018,790,025/8,314,951.50
  6. Step 6: Final answer
    x = 38,015,016.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.