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Finding the Third Proportional to 87,549,067,476 and 177,534,290,628

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Solution

The third proportional to 87,549,067,476 and 177,534,290,628 is: 360,008,681,502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,549,067,476 : 177,534,290,628 = 177,534,290,628 : x
  2. Step 2: Convert to fraction form
    87,549,067,476/177,534,290,628 = 177,534,290,628/x
  3. Step 3: Cross multiply
    87,549,067,476x = 177,534,290,628 × 177,534,290,628
  4. Step 4: Simplify right side
    87,549,067,476x = 31,518,424,348,787,168,247,808
  5. Step 5: Solve for x
    x = 31,518,424,348,787,168,247,808/87,549,067,476
  6. Step 6: Final answer
    x = 360,008,681,502.26

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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.