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Finding the Third Proportional to 542,084,725,834.50 and 820,099,041,087.50

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Solution

The third proportional to 542,084,725,834.50 and 820,099,041,087.50 is: 1,240,696,158,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,084,725,834.50 : 820,099,041,087.50 = 820,099,041,087.50 : x
  2. Step 2: Convert to fraction form
    542,084,725,834.50/820,099,041,087.50 = 820,099,041,087.50/x
  3. Step 3: Cross multiply
    542,084,725,834.50x = 820,099,041,087.50 × 820,099,041,087.50
  4. Step 4: Simplify right side
    542,084,725,834.50x = 672,562,437,192,636,994,420,736
  5. Step 5: Solve for x
    x = 672,562,437,192,636,994,420,736/542,084,725,834.50
  6. Step 6: Final answer
    x = 1,240,696,158,994.84

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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.