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Finding the Third Proportional to 30,096,578.25 and 45,849,027.38

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Solution

The third proportional to 30,096,578.25 and 45,849,027.38 is: 69,846,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,096,578.25 : 45,849,027.38 = 45,849,027.38 : x
  2. Step 2: Convert to fraction form
    30,096,578.25/45,849,027.38 = 45,849,027.38/x
  3. Step 3: Cross multiply
    30,096,578.25x = 45,849,027.38 × 45,849,027.38
  4. Step 4: Simplify right side
    30,096,578.25x = 2,102,133,311,233,499.50
  5. Step 5: Solve for x
    x = 2,102,133,311,233,499.50/30,096,578.25
  6. Step 6: Final answer
    x = 69,846,256.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.