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Finding the Third Proportional to 18,947,488,551,392 and 41,527,334,806,488

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Solution

The third proportional to 18,947,488,551,392 and 41,527,334,806,488 is: 91,015,731,792,246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,947,488,551,392 : 41,527,334,806,488 = 41,527,334,806,488 : x
  2. Step 2: Convert to fraction form
    18,947,488,551,392/41,527,334,806,488 = 41,527,334,806,488/x
  3. Step 3: Cross multiply
    18,947,488,551,392x = 41,527,334,806,488 × 41,527,334,806,488
  4. Step 4: Simplify right side
    18,947,488,551,392x = 1,724,519,536,130,149,650,744,213,504
  5. Step 5: Solve for x
    x = 1,724,519,536,130,149,650,744,213,504/18,947,488,551,392
  6. Step 6: Final answer
    x = 91,015,731,792,246.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.