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Finding the Third Proportional to 40,355,142,414.75 and 86,699,117,787.75

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Solution

The third proportional to 40,355,142,414.75 and 86,699,117,787.75 is: 186,264,663,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,355,142,414.75 : 86,699,117,787.75 = 86,699,117,787.75 : x
  2. Step 2: Convert to fraction form
    40,355,142,414.75/86,699,117,787.75 = 86,699,117,787.75/x
  3. Step 3: Cross multiply
    40,355,142,414.75x = 86,699,117,787.75 × 86,699,117,787.75
  4. Step 4: Simplify right side
    40,355,142,414.75x = 7,516,737,025,174,495,297,536
  5. Step 5: Solve for x
    x = 7,516,737,025,174,495,297,536/40,355,142,414.75
  6. Step 6: Final answer
    x = 186,264,663,569.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.