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Finding the Third Proportional to 2,536,648.50 and 5,919,946.50

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Solution

The third proportional to 2,536,648.50 and 5,919,946.50 is: 13,815,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536,648.50 : 5,919,946.50 = 5,919,946.50 : x
  2. Step 2: Convert to fraction form
    2,536,648.50/5,919,946.50 = 5,919,946.50/x
  3. Step 3: Cross multiply
    2,536,648.50x = 5,919,946.50 × 5,919,946.50
  4. Step 4: Simplify right side
    2,536,648.50x = 35,045,766,562,862.25
  5. Step 5: Solve for x
    x = 35,045,766,562,862.25/2,536,648.50
  6. Step 6: Final answer
    x = 13,815,775.64

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.