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Finding the Third Proportional to 811,198,400 and 1,751,709,952

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Solution

The third proportional to 811,198,400 and 1,751,709,952 is: 3,782,660,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,198,400 : 1,751,709,952 = 1,751,709,952 : x
  2. Step 2: Convert to fraction form
    811,198,400/1,751,709,952 = 1,751,709,952/x
  3. Step 3: Cross multiply
    811,198,400x = 1,751,709,952 × 1,751,709,952
  4. Step 4: Simplify right side
    811,198,400x = 3,068,487,755,935,842,304
  5. Step 5: Solve for x
    x = 3,068,487,755,935,842,304/811,198,400
  6. Step 6: Final answer
    x = 3,782,660,019.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.