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Finding the Third Proportional to 385,044,096 and 831,468,480

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Solution

The third proportional to 385,044,096 and 831,468,480 is: 1,795,482,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,044,096 : 831,468,480 = 831,468,480 : x
  2. Step 2: Convert to fraction form
    385,044,096/831,468,480 = 831,468,480/x
  3. Step 3: Cross multiply
    385,044,096x = 831,468,480 × 831,468,480
  4. Step 4: Simplify right side
    385,044,096x = 691,339,833,233,510,400
  5. Step 5: Solve for x
    x = 691,339,833,233,510,400/385,044,096
  6. Step 6: Final answer
    x = 1,795,482,232.85

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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.