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Finding the Third Proportional to 883,646,814 and 1,922,435,536.50

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Solution

The third proportional to 883,646,814 and 1,922,435,536.50 is: 4,182,393,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,646,814 : 1,922,435,536.50 = 1,922,435,536.50 : x
  2. Step 2: Convert to fraction form
    883,646,814/1,922,435,536.50 = 1,922,435,536.50/x
  3. Step 3: Cross multiply
    883,646,814x = 1,922,435,536.50 × 1,922,435,536.50
  4. Step 4: Simplify right side
    883,646,814x = 3,695,758,391,998,042,624
  5. Step 5: Solve for x
    x = 3,695,758,391,998,042,624/883,646,814
  6. Step 6: Final answer
    x = 4,182,393,161.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.