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Finding the Third Proportional to 4,265,564 and 6,540,916.50

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Solution

The third proportional to 4,265,564 and 6,540,916.50 is: 10,029,995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265,564 : 6,540,916.50 = 6,540,916.50 : x
  2. Step 2: Convert to fraction form
    4,265,564/6,540,916.50 = 6,540,916.50/x
  3. Step 3: Cross multiply
    4,265,564x = 6,540,916.50 × 6,540,916.50
  4. Step 4: Simplify right side
    4,265,564x = 42,783,588,659,972.25
  5. Step 5: Solve for x
    x = 42,783,588,659,972.25/4,265,564
  6. Step 6: Final answer
    x = 10,029,995.72

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.