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Finding the Third Proportional to 12,534,104,654 and 18,962,362,741

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Solution

The third proportional to 12,534,104,654 and 18,962,362,741 is: 28,687,426,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534,104,654 : 18,962,362,741 = 18,962,362,741 : x
  2. Step 2: Convert to fraction form
    12,534,104,654/18,962,362,741 = 18,962,362,741/x
  3. Step 3: Cross multiply
    12,534,104,654x = 18,962,362,741 × 18,962,362,741
  4. Step 4: Simplify right side
    12,534,104,654x = 359,571,200,721,265,033,216
  5. Step 5: Solve for x
    x = 359,571,200,721,265,033,216/12,534,104,654
  6. Step 6: Final answer
    x = 28,687,426,078.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.