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Finding the Third Proportional to 7,600,318,596 and 16,344,459,009

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Solution

The third proportional to 7,600,318,596 and 16,344,459,009 is: 35,148,702,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600,318,596 : 16,344,459,009 = 16,344,459,009 : x
  2. Step 2: Convert to fraction form
    7,600,318,596/16,344,459,009 = 16,344,459,009/x
  3. Step 3: Cross multiply
    7,600,318,596x = 16,344,459,009 × 16,344,459,009
  4. Step 4: Simplify right side
    7,600,318,596x = 267,141,340,296,881,274,880
  5. Step 5: Solve for x
    x = 267,141,340,296,881,274,880/7,600,318,596
  6. Step 6: Final answer
    x = 35,148,702,902.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.