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Finding the Third Proportional to 4,104,007,128 and 8,611,122,096

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Solution

The third proportional to 4,104,007,128 and 8,611,122,096 is: 18,068,054,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104,007,128 : 8,611,122,096 = 8,611,122,096 : x
  2. Step 2: Convert to fraction form
    4,104,007,128/8,611,122,096 = 8,611,122,096/x
  3. Step 3: Cross multiply
    4,104,007,128x = 8,611,122,096 × 8,611,122,096
  4. Step 4: Simplify right side
    4,104,007,128x = 74,151,423,752,219,426,816
  5. Step 5: Solve for x
    x = 74,151,423,752,219,426,816/4,104,007,128
  6. Step 6: Final answer
    x = 18,068,054,328.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.