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Finding the Third Proportional to 87,549,067,412 and 177,534,290,500

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Solution

The third proportional to 87,549,067,412 and 177,534,290,500 is: 360,008,681,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,549,067,412 : 177,534,290,500 = 177,534,290,500 : x
  2. Step 2: Convert to fraction form
    87,549,067,412/177,534,290,500 = 177,534,290,500/x
  3. Step 3: Cross multiply
    87,549,067,412x = 177,534,290,500 × 177,534,290,500
  4. Step 4: Simplify right side
    87,549,067,412x = 31,518,424,303,338,390,552,576
  5. Step 5: Solve for x
    x = 31,518,424,303,338,390,552,576/87,549,067,412
  6. Step 6: Final answer
    x = 360,008,681,246.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.