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Finding the Third Proportional to 824,372,714 and 1,777,881,942

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Solution

The third proportional to 824,372,714 and 1,777,881,942 is: 3,834,265,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,714 : 1,777,881,942 = 1,777,881,942 : x
  2. Step 2: Convert to fraction form
    824,372,714/1,777,881,942 = 1,777,881,942/x
  3. Step 3: Cross multiply
    824,372,714x = 1,777,881,942 × 1,777,881,942
  4. Step 4: Simplify right side
    824,372,714x = 3,160,864,199,689,691,136
  5. Step 5: Solve for x
    x = 3,160,864,199,689,691,136/824,372,714
  6. Step 6: Final answer
    x = 3,834,265,916.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.