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Finding the Third Proportional to 3,588,144.75 and 7,674,196.50

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Solution

The third proportional to 3,588,144.75 and 7,674,196.50 is: 16,413,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588,144.75 : 7,674,196.50 = 7,674,196.50 : x
  2. Step 2: Convert to fraction form
    3,588,144.75/7,674,196.50 = 7,674,196.50/x
  3. Step 3: Cross multiply
    3,588,144.75x = 7,674,196.50 × 7,674,196.50
  4. Step 4: Simplify right side
    3,588,144.75x = 58,893,291,920,612.25
  5. Step 5: Solve for x
    x = 58,893,291,920,612.25/3,588,144.75
  6. Step 6: Final answer
    x = 16,413,298.80

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