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Finding the Third Proportional to 66,434,416 and 143,783,096

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Solution

The third proportional to 66,434,416 and 143,783,096 is: 311,187,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,434,416 : 143,783,096 = 143,783,096 : x
  2. Step 2: Convert to fraction form
    66,434,416/143,783,096 = 143,783,096/x
  3. Step 3: Cross multiply
    66,434,416x = 143,783,096 × 143,783,096
  4. Step 4: Simplify right side
    66,434,416x = 20,673,578,695,345,216
  5. Step 5: Solve for x
    x = 20,673,578,695,345,216/66,434,416
  6. Step 6: Final answer
    x = 311,187,783.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.