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Finding the Third Proportional to 1,301,156,968 and 1,982,243,375

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Solution

The third proportional to 1,301,156,968 and 1,982,243,375 is: 3,019,842,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,156,968 : 1,982,243,375 = 1,982,243,375 : x
  2. Step 2: Convert to fraction form
    1,301,156,968/1,982,243,375 = 1,982,243,375/x
  3. Step 3: Cross multiply
    1,301,156,968x = 1,982,243,375 × 1,982,243,375
  4. Step 4: Simplify right side
    1,301,156,968x = 3,929,288,797,731,390,464
  5. Step 5: Solve for x
    x = 3,929,288,797,731,390,464/1,301,156,968
  6. Step 6: Final answer
    x = 3,019,842,259.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.