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Finding the Third Proportional to 398,238,332,067 and 875,909,971,246.50

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Solution

The third proportional to 398,238,332,067 and 875,909,971,246.50 is: 1,926,530,461,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,238,332,067 : 875,909,971,246.50 = 875,909,971,246.50 : x
  2. Step 2: Convert to fraction form
    398,238,332,067/875,909,971,246.50 = 875,909,971,246.50/x
  3. Step 3: Cross multiply
    398,238,332,067x = 875,909,971,246.50 × 875,909,971,246.50
  4. Step 4: Simplify right side
    398,238,332,067x = 767,218,277,729,044,403,322,880
  5. Step 5: Solve for x
    x = 767,218,277,729,044,403,322,880/398,238,332,067
  6. Step 6: Final answer
    x = 1,926,530,461,663.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.