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Finding the Third Proportional to 643,853,684 and 1,394,670,393

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Solution

The third proportional to 643,853,684 and 1,394,670,393 is: 3,021,036,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,853,684 : 1,394,670,393 = 1,394,670,393 : x
  2. Step 2: Convert to fraction form
    643,853,684/1,394,670,393 = 1,394,670,393/x
  3. Step 3: Cross multiply
    643,853,684x = 1,394,670,393 × 1,394,670,393
  4. Step 4: Simplify right side
    643,853,684x = 1,945,105,505,110,774,528
  5. Step 5: Solve for x
    x = 1,945,105,505,110,774,528/643,853,684
  6. Step 6: Final answer
    x = 3,021,036,538.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.