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Finding the Third Proportional to 384,934,856 and 908,377,364

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Solution

The third proportional to 384,934,856 and 908,377,364 is: 2,143,607,996.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,934,856 : 908,377,364 = 908,377,364 : x
  2. Step 2: Convert to fraction form
    384,934,856/908,377,364 = 908,377,364/x
  3. Step 3: Cross multiply
    384,934,856x = 908,377,364 × 908,377,364
  4. Step 4: Simplify right side
    384,934,856x = 825,149,435,427,588,480
  5. Step 5: Solve for x
    x = 825,149,435,427,588,480/384,934,856
  6. Step 6: Final answer
    x = 2,143,607,996.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.