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Finding the Third Proportional to 13,232,830,656 and 20,487,334,176

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Solution

The third proportional to 13,232,830,656 and 20,487,334,176 is: 31,718,902,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232,830,656 : 20,487,334,176 = 20,487,334,176 : x
  2. Step 2: Convert to fraction form
    13,232,830,656/20,487,334,176 = 20,487,334,176/x
  3. Step 3: Cross multiply
    13,232,830,656x = 20,487,334,176 × 20,487,334,176
  4. Step 4: Simplify right side
    13,232,830,656x = 419,730,861,639,097,581,568
  5. Step 5: Solve for x
    x = 419,730,861,639,097,581,568/13,232,830,656
  6. Step 6: Final answer
    x = 31,718,902,217.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.