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Finding the Third Proportional to 5,146,283.50 and 7,569,737.25

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Solution

The third proportional to 5,146,283.50 and 7,569,737.25 is: 11,134,427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146,283.50 : 7,569,737.25 = 7,569,737.25 : x
  2. Step 2: Convert to fraction form
    5,146,283.50/7,569,737.25 = 7,569,737.25/x
  3. Step 3: Cross multiply
    5,146,283.50x = 7,569,737.25 × 7,569,737.25
  4. Step 4: Simplify right side
    5,146,283.50x = 57,300,922,034,037.56
  5. Step 5: Solve for x
    x = 57,300,922,034,037.56/5,146,283.50
  6. Step 6: Final answer
    x = 11,134,427.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.