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Finding the Third Proportional to 385,003,414 and 831,369,692

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Solution

The third proportional to 385,003,414 and 831,369,692 is: 1,795,245,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,003,414 : 831,369,692 = 831,369,692 : x
  2. Step 2: Convert to fraction form
    385,003,414/831,369,692 = 831,369,692/x
  3. Step 3: Cross multiply
    385,003,414x = 831,369,692 × 831,369,692
  4. Step 4: Simplify right side
    385,003,414x = 691,175,564,776,174,848
  5. Step 5: Solve for x
    x = 691,175,564,776,174,848/385,003,414
  6. Step 6: Final answer
    x = 1,795,245,287.81

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Why These Related Problems?

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