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Finding the Third Proportional to 4,055,481,209,134 and 8,699,681,780,500

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Solution

The third proportional to 4,055,481,209,134 and 8,699,681,780,500 is: 18,662,264,520,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055,481,209,134 : 8,699,681,780,500 = 8,699,681,780,500 : x
  2. Step 2: Convert to fraction form
    4,055,481,209,134/8,699,681,780,500 = 8,699,681,780,500/x
  3. Step 3: Cross multiply
    4,055,481,209,134x = 8,699,681,780,500 × 8,699,681,780,500
  4. Step 4: Simplify right side
    4,055,481,209,134x = 75,684,463,081,963,649,478,164,480
  5. Step 5: Solve for x
    x = 75,684,463,081,963,649,478,164,480/4,055,481,209,134
  6. Step 6: Final answer
    x = 18,662,264,520,299.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.