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Finding the Third Proportional to 2,160,808,382 and 5,001,959,968

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Solution

The third proportional to 2,160,808,382 and 5,001,959,968 is: 11,578,816,395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,808,382 : 5,001,959,968 = 5,001,959,968 : x
  2. Step 2: Convert to fraction form
    2,160,808,382/5,001,959,968 = 5,001,959,968/x
  3. Step 3: Cross multiply
    2,160,808,382x = 5,001,959,968 × 5,001,959,968
  4. Step 4: Simplify right side
    2,160,808,382x = 25,019,603,521,474,560,000
  5. Step 5: Solve for x
    x = 25,019,603,521,474,560,000/2,160,808,382
  6. Step 6: Final answer
    x = 11,578,816,395.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.