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Finding the Third Proportional to 8,608,701,424,689 and 18,972,130,371,550

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Solution

The third proportional to 8,608,701,424,689 and 18,972,130,371,550 is: 41,811,385,141,411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,608,701,424,689 : 18,972,130,371,550 = 18,972,130,371,550 : x
  2. Step 2: Convert to fraction form
    8,608,701,424,689/18,972,130,371,550 = 18,972,130,371,550/x
  3. Step 3: Cross multiply
    8,608,701,424,689x = 18,972,130,371,550 × 18,972,130,371,550
  4. Step 4: Simplify right side
    8,608,701,424,689x = 359,941,730,835,089,958,631,374,848
  5. Step 5: Solve for x
    x = 359,941,730,835,089,958,631,374,848/8,608,701,424,689
  6. Step 6: Final answer
    x = 41,811,385,141,411.53

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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.