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Finding the Third Proportional to 650,684,604 and 1,430,493,096

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Solution

The third proportional to 650,684,604 and 1,430,493,096 is: 3,144,857,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,684,604 : 1,430,493,096 = 1,430,493,096 : x
  2. Step 2: Convert to fraction form
    650,684,604/1,430,493,096 = 1,430,493,096/x
  3. Step 3: Cross multiply
    650,684,604x = 1,430,493,096 × 1,430,493,096
  4. Step 4: Simplify right side
    650,684,604x = 2,046,310,497,703,665,152
  5. Step 5: Solve for x
    x = 2,046,310,497,703,665,152/650,684,604
  6. Step 6: Final answer
    x = 3,144,857,716.20

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Why These Related Problems?

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