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Finding the Third Proportional to 6,876,961,271.44 and 10,322,720,676

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Solution

The third proportional to 6,876,961,271.44 and 10,322,720,676 is: 15,495,006,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876,961,271.44 : 10,322,720,676 = 10,322,720,676 : x
  2. Step 2: Convert to fraction form
    6,876,961,271.44/10,322,720,676 = 10,322,720,676/x
  3. Step 3: Cross multiply
    6,876,961,271.44x = 10,322,720,676 × 10,322,720,676
  4. Step 4: Simplify right side
    6,876,961,271.44x = 106,558,562,154,717,904,896
  5. Step 5: Solve for x
    x = 106,558,562,154,717,904,896/6,876,961,271.44
  6. Step 6: Final answer
    x = 15,495,006,871.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.