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Finding the Third Proportional to 8,608,701,426,174 and 18,972,130,374,504

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Solution

The third proportional to 8,608,701,426,174 and 18,972,130,374,504 is: 41,811,385,147,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,608,701,426,174 : 18,972,130,374,504 = 18,972,130,374,504 : x
  2. Step 2: Convert to fraction form
    8,608,701,426,174/18,972,130,374,504 = 18,972,130,374,504/x
  3. Step 3: Cross multiply
    8,608,701,426,174x = 18,972,130,374,504 × 18,972,130,374,504
  4. Step 4: Simplify right side
    8,608,701,426,174x = 359,941,730,947,177,266,343,313,408
  5. Step 5: Solve for x
    x = 359,941,730,947,177,266,343,313,408/8,608,701,426,174
  6. Step 6: Final answer
    x = 41,811,385,147,219.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.