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Finding the Third Proportional to 344,043,575,262 and 478,365,091,032

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Solution

The third proportional to 344,043,575,262 and 478,365,091,032 is: 665,128,422,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,043,575,262 : 478,365,091,032 = 478,365,091,032 : x
  2. Step 2: Convert to fraction form
    344,043,575,262/478,365,091,032 = 478,365,091,032/x
  3. Step 3: Cross multiply
    344,043,575,262x = 478,365,091,032 × 478,365,091,032
  4. Step 4: Simplify right side
    344,043,575,262x = 228,833,160,318,053,653,676,032
  5. Step 5: Solve for x
    x = 228,833,160,318,053,653,676,032/344,043,575,262
  6. Step 6: Final answer
    x = 665,128,422,013.96

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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.