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Finding the Third Proportional to 364,356,394,083 and 801,582,792,574.50

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Solution

The third proportional to 364,356,394,083 and 801,582,792,574.50 is: 1,763,479,339,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,356,394,083 : 801,582,792,574.50 = 801,582,792,574.50 : x
  2. Step 2: Convert to fraction form
    364,356,394,083/801,582,792,574.50 = 801,582,792,574.50/x
  3. Step 3: Cross multiply
    364,356,394,083x = 801,582,792,574.50 × 801,582,792,574.50
  4. Step 4: Simplify right side
    364,356,394,083x = 642,534,973,351,533,840,695,296
  5. Step 5: Solve for x
    x = 642,534,973,351,533,840,695,296/364,356,394,083
  6. Step 6: Final answer
    x = 1,763,479,339,970.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.