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Finding the Third Proportional to 75,381,717,762 and 163,326,198,708

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Solution

The third proportional to 75,381,717,762 and 163,326,198,708 is: 353,871,574,917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,381,717,762 : 163,326,198,708 = 163,326,198,708 : x
  2. Step 2: Convert to fraction form
    75,381,717,762/163,326,198,708 = 163,326,198,708/x
  3. Step 3: Cross multiply
    75,381,717,762x = 163,326,198,708 × 163,326,198,708
  4. Step 4: Simplify right side
    75,381,717,762x = 26,675,447,184,405,099,970,560
  5. Step 5: Solve for x
    x = 26,675,447,184,405,099,970,560/75,381,717,762
  6. Step 6: Final answer
    x = 353,871,574,917.23

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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.