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Finding the Third Proportional to 725,221,365.19 and 1,553,837,016.80

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Solution

The third proportional to 725,221,365.19 and 1,553,837,016.80 is: 3,329,203,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,221,365.19 : 1,553,837,016.80 = 1,553,837,016.80 : x
  2. Step 2: Convert to fraction form
    725,221,365.19/1,553,837,016.80 = 1,553,837,016.80/x
  3. Step 3: Cross multiply
    725,221,365.19x = 1,553,837,016.80 × 1,553,837,016.80
  4. Step 4: Simplify right side
    725,221,365.19x = 2,414,409,474,767,978,496
  5. Step 5: Solve for x
    x = 2,414,409,474,767,978,496/725,221,365.19
  6. Step 6: Final answer
    x = 3,329,203,455.20

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.