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Finding the Third Proportional to 18,604,361,616.75 and 40,824,637,591.50

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Solution

The third proportional to 18,604,361,616.75 and 40,824,637,591.50 is: 89,583,887,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,604,361,616.75 : 40,824,637,591.50 = 40,824,637,591.50 : x
  2. Step 2: Convert to fraction form
    18,604,361,616.75/40,824,637,591.50 = 40,824,637,591.50/x
  3. Step 3: Cross multiply
    18,604,361,616.75x = 40,824,637,591.50 × 40,824,637,591.50
  4. Step 4: Simplify right side
    18,604,361,616.75x = 1,666,651,034,477,314,965,504
  5. Step 5: Solve for x
    x = 1,666,651,034,477,314,965,504/18,604,361,616.75
  6. Step 6: Final answer
    x = 89,583,887,306.12

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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.