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Finding the Third Proportional to 13,232,830,668 and 20,487,334,194

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Solution

The third proportional to 13,232,830,668 and 20,487,334,194 is: 31,718,902,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232,830,668 : 20,487,334,194 = 20,487,334,194 : x
  2. Step 2: Convert to fraction form
    13,232,830,668/20,487,334,194 = 20,487,334,194/x
  3. Step 3: Cross multiply
    13,232,830,668x = 20,487,334,194 × 20,487,334,194
  4. Step 4: Simplify right side
    13,232,830,668x = 419,730,862,376,641,626,112
  5. Step 5: Solve for x
    x = 419,730,862,376,641,626,112/13,232,830,668
  6. Step 6: Final answer
    x = 31,718,902,244.52

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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.