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Finding the Third Proportional to 853,671,152 and 1,903,628,971

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Solution

The third proportional to 853,671,152 and 1,903,628,971 is: 4,244,963,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,671,152 : 1,903,628,971 = 1,903,628,971 : x
  2. Step 2: Convert to fraction form
    853,671,152/1,903,628,971 = 1,903,628,971/x
  3. Step 3: Cross multiply
    853,671,152x = 1,903,628,971 × 1,903,628,971
  4. Step 4: Simplify right side
    853,671,152x = 3,623,803,259,230,518,784
  5. Step 5: Solve for x
    x = 3,623,803,259,230,518,784/853,671,152
  6. Step 6: Final answer
    x = 4,244,963,942.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.