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Finding the Third Proportional to 699,693,538 and 1,619,833,429

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Solution

The third proportional to 699,693,538 and 1,619,833,429 is: 3,750,013,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,693,538 : 1,619,833,429 = 1,619,833,429 : x
  2. Step 2: Convert to fraction form
    699,693,538/1,619,833,429 = 1,619,833,429/x
  3. Step 3: Cross multiply
    699,693,538x = 1,619,833,429 × 1,619,833,429
  4. Step 4: Simplify right side
    699,693,538x = 2,623,860,337,705,897,984
  5. Step 5: Solve for x
    x = 2,623,860,337,705,897,984/699,693,538
  6. Step 6: Final answer
    x = 3,750,013,677.71

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.