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Finding the Third Proportional to 10,775,052 and 16,146,737.25

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Solution

The third proportional to 10,775,052 and 16,146,737.25 is: 24,196,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775,052 : 16,146,737.25 = 16,146,737.25 : x
  2. Step 2: Convert to fraction form
    10,775,052/16,146,737.25 = 16,146,737.25/x
  3. Step 3: Cross multiply
    10,775,052x = 16,146,737.25 × 16,146,737.25
  4. Step 4: Simplify right side
    10,775,052x = 260,717,123,820,537.56
  5. Step 5: Solve for x
    x = 260,717,123,820,537.56/10,775,052
  6. Step 6: Final answer
    x = 24,196,368.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.