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Finding the Third Proportional to 7,419,341,790 and 16,000,912,242

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Solution

The third proportional to 7,419,341,790 and 16,000,912,242 is: 34,508,343,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419,341,790 : 16,000,912,242 = 16,000,912,242 : x
  2. Step 2: Convert to fraction form
    7,419,341,790/16,000,912,242 = 16,000,912,242/x
  3. Step 3: Cross multiply
    7,419,341,790x = 16,000,912,242 × 16,000,912,242
  4. Step 4: Simplify right side
    7,419,341,790x = 256,029,192,576,185,466,880
  5. Step 5: Solve for x
    x = 256,029,192,576,185,466,880/7,419,341,790
  6. Step 6: Final answer
    x = 34,508,343,168.83

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Why These Related Problems?

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