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Finding the Third Proportional to 344,043,574,234 and 478,365,089,658

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Solution

The third proportional to 344,043,574,234 and 478,365,089,658 is: 665,128,420,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,043,574,234 : 478,365,089,658 = 478,365,089,658 : x
  2. Step 2: Convert to fraction form
    344,043,574,234/478,365,089,658 = 478,365,089,658/x
  3. Step 3: Cross multiply
    344,043,574,234x = 478,365,089,658 × 478,365,089,658
  4. Step 4: Simplify right side
    344,043,574,234x = 228,833,159,003,506,368,053,248
  5. Step 5: Solve for x
    x = 228,833,159,003,506,368,053,248/344,043,574,234
  6. Step 6: Final answer
    x = 665,128,420,180.48

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