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Finding the Third Proportional to 2,762,105,968 and 5,917,210,976

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Solution

The third proportional to 2,762,105,968 and 5,917,210,976 is: 12,676,336,874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762,105,968 : 5,917,210,976 = 5,917,210,976 : x
  2. Step 2: Convert to fraction form
    2,762,105,968/5,917,210,976 = 5,917,210,976/x
  3. Step 3: Cross multiply
    2,762,105,968x = 5,917,210,976 × 5,917,210,976
  4. Step 4: Simplify right side
    2,762,105,968x = 35,013,385,734,494,871,552
  5. Step 5: Solve for x
    x = 35,013,385,734,494,871,552/2,762,105,968
  6. Step 6: Final answer
    x = 12,676,336,874.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.