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Finding the Third Proportional to 7,222,439,704 and 10,170,786,642

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Solution

The third proportional to 7,222,439,704 and 10,170,786,642 is: 14,322,708,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222,439,704 : 10,170,786,642 = 10,170,786,642 : x
  2. Step 2: Convert to fraction form
    7,222,439,704/10,170,786,642 = 10,170,786,642/x
  3. Step 3: Cross multiply
    7,222,439,704x = 10,170,786,642 × 10,170,786,642
  4. Step 4: Simplify right side
    7,222,439,704x = 103,444,900,917,085,634,560
  5. Step 5: Solve for x
    x = 103,444,900,917,085,634,560/7,222,439,704
  6. Step 6: Final answer
    x = 14,322,708,829.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.