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Finding the Third Proportional to 859,597,071,081.75 and 1,839,947,103,292.50

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Solution

The third proportional to 859,597,071,081.75 and 1,839,947,103,292.50 is: 3,938,363,050,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,597,071,081.75 : 1,839,947,103,292.50 = 1,839,947,103,292.50 : x
  2. Step 2: Convert to fraction form
    859,597,071,081.75/1,839,947,103,292.50 = 1,839,947,103,292.50/x
  3. Step 3: Cross multiply
    859,597,071,081.75x = 1,839,947,103,292.50 × 1,839,947,103,292.50
  4. Step 4: Simplify right side
    859,597,071,081.75x = 3,385,405,342,914,461,820,780,544
  5. Step 5: Solve for x
    x = 3,385,405,342,914,461,820,780,544/859,597,071,081.75
  6. Step 6: Final answer
    x = 3,938,363,050,323.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.