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Finding the Third Proportional to 335,549,400.75 and 729,181,071

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Solution

The third proportional to 335,549,400.75 and 729,181,071 is: 1,584,580,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,549,400.75 : 729,181,071 = 729,181,071 : x
  2. Step 2: Convert to fraction form
    335,549,400.75/729,181,071 = 729,181,071/x
  3. Step 3: Cross multiply
    335,549,400.75x = 729,181,071 × 729,181,071
  4. Step 4: Simplify right side
    335,549,400.75x = 531,705,034,304,707,072
  5. Step 5: Solve for x
    x = 531,705,034,304,707,072/335,549,400.75
  6. Step 6: Final answer
    x = 1,584,580,491.33

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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.