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Finding the Third Proportional to 3,260,466,321 and 7,161,460,098

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Solution

The third proportional to 3,260,466,321 and 7,161,460,098 is: 15,729,808,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260,466,321 : 7,161,460,098 = 7,161,460,098 : x
  2. Step 2: Convert to fraction form
    3,260,466,321/7,161,460,098 = 7,161,460,098/x
  3. Step 3: Cross multiply
    3,260,466,321x = 7,161,460,098 × 7,161,460,098
  4. Step 4: Simplify right side
    3,260,466,321x = 51,286,510,735,246,172,160
  5. Step 5: Solve for x
    x = 51,286,510,735,246,172,160/3,260,466,321
  6. Step 6: Final answer
    x = 15,729,808,464.80

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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.