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Finding the Third Proportional to 32,078,225 and 65,857,011

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Solution

The third proportional to 32,078,225 and 65,857,011 is: 135,205,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078,225 : 65,857,011 = 65,857,011 : x
  2. Step 2: Convert to fraction form
    32,078,225/65,857,011 = 65,857,011/x
  3. Step 3: Cross multiply
    32,078,225x = 65,857,011 × 65,857,011
  4. Step 4: Simplify right side
    32,078,225x = 4,337,145,897,854,121
  5. Step 5: Solve for x
    x = 4,337,145,897,854,121/32,078,225
  6. Step 6: Final answer
    x = 135,205,295.74

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.