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Finding the Third Proportional to 29,688,147 and 65,415,330

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Solution

The third proportional to 29,688,147 and 65,415,330 is: 144,137,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,688,147 : 65,415,330 = 65,415,330 : x
  2. Step 2: Convert to fraction form
    29,688,147/65,415,330 = 65,415,330/x
  3. Step 3: Cross multiply
    29,688,147x = 65,415,330 × 65,415,330
  4. Step 4: Simplify right side
    29,688,147x = 4,279,165,399,008,900
  5. Step 5: Solve for x
    x = 4,279,165,399,008,900/29,688,147
  6. Step 6: Final answer
    x = 144,137,166.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.