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Finding the Third Proportional to 319,449,093.47 and 477,896,646.09

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Solution

The third proportional to 319,449,093.47 and 477,896,646.09 is: 714,934,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,449,093.47 : 477,896,646.09 = 477,896,646.09 : x
  2. Step 2: Convert to fraction form
    319,449,093.47/477,896,646.09 = 477,896,646.09/x
  3. Step 3: Cross multiply
    319,449,093.47x = 477,896,646.09 × 477,896,646.09
  4. Step 4: Simplify right side
    319,449,093.47x = 228,385,204,347,664,512
  5. Step 5: Solve for x
    x = 228,385,204,347,664,512/319,449,093.47
  6. Step 6: Final answer
    x = 714,934,582.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.