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Finding the Third Proportional to 344,043,574,230 and 478,365,089,652

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Solution

The third proportional to 344,043,574,230 and 478,365,089,652 is: 665,128,420,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,043,574,230 : 478,365,089,652 = 478,365,089,652 : x
  2. Step 2: Convert to fraction form
    344,043,574,230/478,365,089,652 = 478,365,089,652/x
  3. Step 3: Cross multiply
    344,043,574,230x = 478,365,089,652 × 478,365,089,652
  4. Step 4: Simplify right side
    344,043,574,230x = 228,833,158,997,766,010,044,416
  5. Step 5: Solve for x
    x = 228,833,158,997,766,010,044,416/344,043,574,230
  6. Step 6: Final answer
    x = 665,128,420,171.53

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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.