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Finding the Third Proportional to 441,943,890.75 and 614,487,664.13

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Solution

The third proportional to 441,943,890.75 and 614,487,664.13 is: 854,395,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,943,890.75 : 614,487,664.13 = 614,487,664.13 : x
  2. Step 2: Convert to fraction form
    441,943,890.75/614,487,664.13 = 614,487,664.13/x
  3. Step 3: Cross multiply
    441,943,890.75x = 614,487,664.13 × 614,487,664.13
  4. Step 4: Simplify right side
    441,943,890.75x = 377,595,089,361,798,784
  5. Step 5: Solve for x
    x = 377,595,089,361,798,784/441,943,890.75
  6. Step 6: Final answer
    x = 854,395,992.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.