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Finding the Third Proportional to 643,853,694 and 1,394,670,412

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Solution

The third proportional to 643,853,694 and 1,394,670,412 is: 3,021,036,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,853,694 : 1,394,670,412 = 1,394,670,412 : x
  2. Step 2: Convert to fraction form
    643,853,694/1,394,670,412 = 1,394,670,412/x
  3. Step 3: Cross multiply
    643,853,694x = 1,394,670,412 × 1,394,670,412
  4. Step 4: Simplify right side
    643,853,694x = 1,945,105,558,108,249,856
  5. Step 5: Solve for x
    x = 1,945,105,558,108,249,856/643,853,694
  6. Step 6: Final answer
    x = 3,021,036,574.36

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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.